Then, because | r | < 1, we can find the sum of the infinite series.Ģ0 A financial example You want to save money by setting aside a 1 cent the first day, 2 cents the second day, 4 cents the third day, and so on. (Why?)įind the sum of the alternating geometric series It may help to calculate the first couple of terms to verify the first term and r. If r < 0, we have something called an alternating infinite series. This is called an infinite series, and we can find the sum only in this particular case.Īn infinite series may be noted using summation notation. If | r | < 1, then we can determine the sum of the entire geometric series. Here’s the bottom line: Check it with our sequence: = 6560 How long did that take? Want a shortcut? Not surprisingly, there are formulas. When we did partial sums of arithmetic sequences, those were also series.)ġ5 Partial sums Add the first 8 terms of our sequence (And here’s a free vocabulary word: when we add the terms of a sequence, we call it a series. r = -2 a1 = 5/4 Once we have r and a1, we can find the equation. 5 = a1 (-2)2 5 = a1 (4) a1 = 5/4ġ3 Use it again If the third term of a geometric sequence is 5 and the sixth term is -40, find the eighth term. 40 = a1(r)5 5 = a1(r )2 -8 = r3 and r = -2ġ2 Use it again If the third term of a geometric sequence is 5 and the sixth term is -40, find the eighth term. Once we have the equations, we can find r. Now what? -40 = a1(r) = a1(r)5 5 = a1(r) = a1(r)2ġ1 Use it again If the third term of a geometric sequence is 5 and the sixth term is -40, find the eighth term. Like we did with arithmetic sequences, we start by writing the equations. Like with arithmetic sequences, we need the first term and the change between terms. Explicit: an = a1rn-1 (In other words, find the nth term by multiplying a1 by r and do that (n-1) times.)ħ Geometric sequences Recursive: a1 an = an-1r so, r = an/an-1 Explicit:Īn = a1rn-1 How does these compare to the formulas for an arithmetic sequence?Ĩ Use it Find the 10th term of our POD sequence an = 2(3)n-1ĩ Use it Find the 10th term of our POD sequence an = a1(3)n-1ġ0 Use it again If the third term of a geometric sequence is 5 and the sixth term is -40, find the eighth term. Recursive: a1 an = an-1r so, r = an/an-1 What would the explicit formula be?Ħ Geometric sequences If the pattern between terms in a sequence is a common ratio, then it is a geometric sequence. Each term is 3 times the previous term.ĥ Geometric sequences If the pattern between terms in a sequence is a common ratio, then it is a geometric sequence. 3 POD preview Give the first 5 terms of the sequence forĪn = a1(3)n if a1 =2 Is this formula recursive or explicit? What is the pattern in this sequence? How do we know?Ĥ POD preview Give the first 5 terms of the sequence forĪn = a1(3)n if a1 =2 2, 6, 18, 54, 162 This is an explicit formula.
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MMI Engineered Solutions is a growing enterprise in Saline, Michigan, providing world-class engineering solutions for advanced composites and engineered resins. Shipper/Receiver Forklift Operator - starting at $18 per hour Attendance Bonus 7/31/2023 0 Comments Firefox ad blockIf you want to learn more about ad blocking, there are hundreds of ad blocker extensions available for Firefox and other browsers. At the same time, it takes longer to find what you’re looking for if you’re too busy closing yet another ad. When an ad is loading, it can slow down a website. In some cases, an ad blocker can help your browser go faster. Participation is voluntary, but the websites that participate will stop tracking you immediately. If you don’t want your online behavior used for ads, you can send websites a polite “thanks but no thanks” letter by checking the Do Not Track option of Firefox. Be aware that blocking all cookies can break some sites. In Firefox, you can block all third-party cookies or just those set by trackers. When an airline hikes your rates because you’ve looked at plane tickets once that day, that is the handiwork of a cookie. They live on your computer and monitor what you’ve been doing on a site. Keep in mind that if you choose to always block trackers, some pages might not load correctly.Ĭookies are sent by websites you visit. Another way to do it is to block trackers in all windows. One way to block trackers is to do it when you’re working in a Private Window. If you allow cookies from a website, you’ll automatically be in Custom mode.Ĭlick on the Trackers box and you’ll be able to block trackers in two ways. You can decide what you’re blocking, including trackers, cookies and more. The Custom setting gives you the ultimate choice. This mode will block known third-party trackers and cookies in all Firefox windows. If seeing too many ads ruins your day, then the Strict mode is a better fit. 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This is best for viewing videos and images.Screen gain - How well the screen works at reflecting light from the projector.But other than that, here are some projector-specific variables you should know about: All these qualities play a role in what might make a good screen. The reality is that there are a lot of screen options on the market today different materials, different colors, different shapes. What really makes a good projector screen? It’s a common question that gets asked in-home theatre circles. We’ll walk you through some of your options here, so read on to find out more! What Features Make a Good Projector Screen? If you’re a cinephile looking for a top-of-the-line setup, a professional screen is what you’re probably looking for. If you don’t care about getting the best of the best, you may find that a cheaper screen alternative will work just fine. Blackout cloth is the best as it’s cost-effective and absorbs light from the projector, so colors stand out more.Ī lot of this will depend on what you’re trying to get out of your viewing experience. Other materials will work, but with some reduction of quality. Typically, a blackout cloth or actual projector screen is the best choice for your projector screen choice. Fortunately, the home theatre industry has come a long way in the past ten years, so you now have all kinds of options when it comes to this screen. If you’re setting up a home theatre, one thing you’ll need to find is an appropriate projector screen. 7/30/2023 0 Comments Monopoly empire gameplayInvest in landmarks: In Empire Building Mode, focus on acquiring and upgrading landmarks.Plan your moves strategically to maximise your chances of acquiring valuable properties and collecting higher rents. Plan your moves strategically: Before making any decisions, carefully assess the board, the properties available, and the potential risks and rewards.Players try to discover three of the same kind of treasure Tips and Tricks Players enter another player's board and earn money by attacking their landmarks.īank Heist: Triggered by landing on one of the Railway Tiles, this mini-game presents players with a collection of bank doors hiding their opponents' riches. Shutdown: This competitive mini-game starts when a player lands on one of the railway tiles. Engaging in these mini-games allows players to connect with others, form alliances, and display their achievements, making the digital board game experience more enjoyable and thrilling. These tournaments may include challenges, races, or other contests that test players' tactical abilities. Players can participate in daily tournaments to win one-time rewards and climb the leaderboards. These features enhance the sense of unity and friendly competition, adding excitement to the gameplay. Monopoly Go! includes various mini-games and activities that allow players to engage with each other and create a social and interactive experience. This mode adds depth and strategy to the game, offering a fresh experience for both new and experienced players. With over 100 new boards to unlock, each featuring recognizable landmarks from around the world, players can customise and upgrade their properties to increase their rewards. The familiar elements of chance and community chest cards add an element of surprise to the game.Įmpire Building Mode takes the gameplay to a new level by allowing players to establish their own real estate empires. In Classic Mode, players can enjoy the traditional Monopoly gameplay, rolling virtual dice, acquiring properties, collecting rent, and expanding their business empires. The animation is smooth and visually appealing. The visual effects and animations enhance the overall experience, making it visually appealing and engaging. The attention to detail in the design of the landmarks and tokens is impressive. The game features stunning graphics that bring the virtual board and properties to life. The game introduces new characters like Sofia Wattsitworth, an appraiser, and Benjamin Basu, a banker, alongside the iconic Mr. In addition to the traditional Atlantic City setting, players can unlock over 100 new boards featuring different locations and landmarks. Scopely and Hasbro have collaborated to release Monopoly Go!, it aims to maintain the classic feel of the board game while introducing expanded features. It successfully captures the essence of the original game while adding new components and features to enhance the gameplay experience With its updated graphics, immersive gameplay and social interactions. Monopoly Go! is an exciting and engaging mobile adaptation of the classic board game Monopoly. 7/30/2023 0 Comments Myst video game book seriesRiven has more complex and numerous puzzles than its forerunner and is set in a larger virtual world for players to explore. Like Myst, Riven has an optional method of navigation known as Zip Mode, which allows players to skip to areas already explored, but may cause them to miss important clues. Such items can then be examined at any time, and either reveal clues to puzzles or provide information on the game's setting and story. The cursor changes in context to show when players can drag or toggle switches, or when certain items can be picked up and carried. For instance, if the player positions the cursor hand near the side of the screen, it may show a pointing finger, indicating that clicking will turn the view in that direction. The cursor changes in appearance, depending on its position on the screen and what it is hovering over, to show what effect clicking will have. To navigate the world, the player clicks in the direction they want to walk or turn. By operating mechanical contraptions and deciphering codes and symbols discovered in the surroundings, the vaguely explained goal can eventually be reached. The player explores immersive environments depicted through a large series of computer generated stills using mouse clicks for movement or to manipulate objects within reach. Like its predecessor, Riven is a point and click adventure game played from a first-person perspective. A remake of the game is in development.Ī screenshot of Riven, showing the prison island where the non-player character Catherine is held captive The next entry in the Myst series, Myst III: Exile, was developed by Presto Studios and published by Ubisoft. Rand stayed at Cyan and continued to work on Myst-related products including The Myst Reader and the real-time rendered game Uru: Ages Beyond Myst. After the game's release, Robyn Miller left Cyan to form his own development studio, ending the professional partnership of the two brothers. The best-selling game of 1997, Riven sold 1.5 million copies in one year. Critics positively noted the puzzles and immersive experience of the gameplay, though publications such as Edge felt that the nature of point-and-click gameplay limited the title heavily. Riven was praised by reviewers, with the magazine Salon proclaiming that the game approaches the level of art. Broderbund employed a US$10 million advertising campaign to publicize the game's release. In an effort to create a visual style distinct from that of Myst, director Robyn Miller and his brother, producer Rand Miller recruited former Aladdin production designer Richard Vander Wende as a co-director. Riven takes place almost entirely on the Age of Riven, a world slowly falling apart due to Gehn's destructive rule.ĭevelopment of Riven began soon after Myst became a success, and spanned more than three years. Having been rescued from the efforts of his sons, Atrus enlists the help of the player character to free his wife from his power-hungry father, Gehn. The story of Riven is set after the events of Myst. Riven was also ported to several other platforms. Riven was distributed on five compact discs and released for Mac and Windows personal computers on October 31, 1997, in North America it was later released on a single DVD-ROM in 1998. Developed by Cyan Worlds, it was initially published by Red Orb Entertainment, a division of Broderbund. Riven: The Sequel to Myst is a puzzle adventure video game, the second in the Myst series of games. “These flags represent my love for my country and the constitution and to show people that it’s ok to love America.” “I am a conservative nudist,” Chuck Mills said. Some even have sets of flags on their bikes to share various political perspectives. We have to do something new with each bike ride.” “Then we added a horn and all of this other stuff. Soon known as the "Love Rock," the North Point water intake crib sat dormant throughout the 1970s and into the 1980s, a waterlogged landmark in a Great Lake that was fighting a losing battle with alewives, pollution and other distractions.“I added an umbrella as a joke because these generally happen in the summer and it can get really hot,” Al Woyna said. (Moser didn't talk with Stingl.) The sinking of a Milwaukee icon Stingl soon heard from Mike Manske and Dan Hoffman, who told him that, during the summer of 1971, they joined with their friend Mike Moser and paddled a canoe out to the crib and spray-painted "LOVE" on the side facing the shoreline. Because in 2009, Journal Sentinel columnist Jim Stingl wrote about a woman who admitted repainting the faded letters in 1978, and he made a plea for the identities of the original sign painters. That story must not have been widely read. "Until now, no one knew but our immediate family," Shirley Moser told the Sentinel, in a story published Jan. (The reason for the blabbing: Moser had brought along a 15-foot plywood replica of the "Love Rock," put it in a raft and taken it about a half-mile from shore to the spot where the original had been.) Moser was taking part in the 1987 Polar Bear Plunge, and his parents told a Milwaukee Sentinel reporter that their son was one of the people who painted the giant letters. In 1987, one of the painters, Mike Moser, was outed by his parents for his role in the "LOVE"-in. Then, three years later, "LOVE" came to town.įor years, the identities of the people who painted the 6-foot tall letters on the North Point water intake crib were a mystery. But the Common Council wasn't interested in shelling out the $125,000 to remove the decaying concrete structure in 1968, the council urged spending $1,000 for the Coast Guard to put up warning lights instead. From crib to 'Love Rock'Ĭity officials talked in earnest about getting rid of the abandoned structure in 1965 and again in 1967, citing among other things that it was a threat to navigation. The crib in the middle of the lake was shut off altogether by 1938, although it was available for standby use until 1963. A new water intake system, off Linnwood Avenue, went into operation in 1918. Joslyn tells the story of Coast Guard Surfman Ingar Olsen, who defied the waves to rescue the sole survivor of the tragedy.Īs it turned out, the North Point water intake crib wasn't in use for long. Mary's Hospital were able to see the entire disaster unfold from windows in the hospital's upper floors.įourteen of the 15 workers on the "island" died. In a 1990 story recounting the tragedy in the Milwaukee Sentinel, feature writer Jay Joslyn noted that the workers at St. On April 20, 1893, 15 of the 75 construction workers were still on the project when a fierce spring storm whipped up some monstrous waves on Lake Michigan, pummeling the structure and the temporary wooden workers' shack on top of it. Halfway through construction, disaster struck. The North Point water intake crib took five years to build. Made of concrete and steel, the structure, about the size of a river barge, included a brick tunnel leading to shore. In 1890, the city of Milwaukee began construction of a water intake crib, designed to draw water for the city from Lake Michigan, north of what's now Bradford Beach. How the rock got there was simple: The city built it. How the "LOVE" got there was a mystery for decades. 7/30/2023 0 Comments But hopefully there some plusThat defeats the purpose of Live Activities.Īnd that’s just one example. But the best way to see real time sport scores on the Apple Watch would be to turn on score update notifications on the iPhone. Maybe it hasn’t been maintained in the years since it was introduced, or maybe it was just having a bad day. I don’t recall the sports data source on the Siri watch face always being this borked. It would eventually catch up with what was once a score during the game, but the game ended long before the score updated to show later scores or the game result. The data source on the Siri watch face, however, was best described as broken. The score updated in almost real time as the broadcast played, and I could always see the current score without needing individual notifications for each score change. The Live Activity on the iPhone was fantastic. That’s where you set your favorite teams, after all. While watching my New Orleans Saints fall to the Pittsburgh Steelers on last NFL season, I compared the TV app’s Live Activity on the iPhone to the Siri watch face data source on the Apple Watch. Live Activity alerts are fantastic on the phone, but they amplify just how out of date data can be on the watch.įor example, Apple Watch includes a Siri watch face that lets you view sports scores for your favorite team. Live Activities, the new notification type designed for frequent updates, debuted on iOS 16 for all iPhone lock screens and iPhone 14 Pro’s Dynamic Island. Glancing at notifications has always been a big part of the Apple Watch, but there’s a new kind of notification that isn’t really on the Apple Watch. |
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