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📰 This is an arithmetic series: sum = \(rac{n}{2} imes ( ext{first} + ext{last}) = rac{20}{2} imes (2 + 40) = 10 × 42 = 420\). 📰 #### 420Question: How many integers between 1 and 500 are congruent to 2 mod 7? 📰 Solution: To find the count of integers $ n $ such that $ 1 \leq n \leq 500 $ and $ n \equiv 2 \pmod{7} $, we note the sequence starts at 2 and increases by 7 each time: $ 2, 9, 16, \dots $. The general term is $ 7k + 2 $. Solving $ 7k + 2 \leq 500 $ gives $ k \leq rac{498}{7} pprox 71.14 $, so $ k = 0, 1, \dots, 71 $. This yields $ 72 $ integers. oxed{72} 📰 Downloads On Iphone 3000012 📰 Sus Anime That Will Buy You A Mic Trust Me Youll Never Look At Characters The Same Way 5471226 📰 Six Months Equal More Than Just Weekssee The Full Picture 1963270 📰 Stephanie Brown From Background Player To Iconher Rise You Wont See Coming 600823 📰 Neon Cactus 9344700 📰 Ukrainian Drone Attacks Moscow Airports 315487 📰 Buddy Duress 4660080 📰 Credit Card Good For Travel 8261899 📰 Stop Struggling Use Java Development Kit 32 Bit For Ultra Efficient Apps 9351554 📰 You Wont Believe How Slugging Percentage Explains A Hitters True Powerheres Why 1452193 📰 Discover The Secret True Summer Colors Youve Been Missing All Season Long 7325087 📰 The Shocking Truth About Nlpadels Power That Elite Experts Hide 5405413 📰 The Shocking Truth About Collate In Printinglearn It Now To Save Time 1746796 📰 Iphone Eagles Wallpaper This Sleek Design Will Turn Your Screen Into A Nature Masterpiece 9120806 📰 Ulnar Notch Of Radius 6256289