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In mathematics, the infinite series 1 / 2 + 1 / 4 + 1 / 8 + 1 / 16 + ··· is an elementary example of a geometric series that converges absolutely. The sum of the series is 1.
The iPhone 16 Pro models continue the edge-to-edge display design but introduce thinner display borders, giving them the thinnest borders of any Apple product to date; iPhone 16 Pro and iPhone 16 Pro Max feature larger 6.3-inch and 6.9-inch Super Retina XDR OLED displays, respectively, with iPhone 16 Pro Max offering the largest iPhone display ever. [5]
The iPhone 16 and iPhone 16 Plus are smartphones developed and marketed by Apple. They are the eighteenth -generation iPhones , succeeding the iPhone 15 and iPhone 15 Plus . The devices were unveiled alongside the higher-priced iPhone 16 Pro and 16 Pro Max during the September 9, 2024 Apple Event at Apple Park in Cupertino, California .
The iPhone 16, 16 Plus, 16 Pro, and 16 Pro Max were announced on September 9, 2024. The former two introduced a vertical camera layout with refined "Fusion" and Ultra-Wide cameras. [58] The 16 Pro and Pro Max have larger 6.3-inch and 6.9-inch displays, a 48-megapixel Ultra-Wide camera, and the largest batteries in an iPhone up to that point. [59]
iOS 16 is the sixteenth major release of Apple's iOS mobile operating system for the iPhone. It is the successor of iOS 15 , and was announced at the company's Worldwide Developers Conference (WWDC) on June 6, 2022, alongside iPadOS 16 , [ 3 ] and released on September 12, 2022.
Unlike the iPhone 11 Pro and iPhone 11 Pro Max where the only difference was the screen size and battery capacity, the iPhone 12 Pro Max adds a 47% larger sensor and sensor-shift image stabilization to the main camera lens, and replaces the f/2.0 aperture 52 mm telephoto camera lens with a f/2.2 aperture 65 mm lens, allowing for a 2.5x optical ...
The unemployment rate held at 4.1%. Against the weaker-than-expected jobs report came a one-two punch of new economic data for October, a week after a U.S. presidential election in which the ...
For some other divergent geometric series, including Grandi's series with ratio −1, and the series 1 + 2 + 4 + 8 + ⋯ with ratio 2, one can use the general solution for the sum of a geometric series with base 1 and ratio , obtaining , but this summation method fails for 1 + 1 + 1 + 1 + ⋯, producing a division by zero.