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📰 h_{ ext{longest}} = rac{2 \cdot 84}{13} = rac{168}{13} 📰 Final answer: $ oxed{rac{168}{13}} $Question: What is the remainder when the sum of the first 12 even numbers after 2020 is divided by 11? 📰 Solution: The first 12 even numbers after 2020 are $2022, 2024, \ldots, 2044$. The sum of an arithmetic sequence is $S = rac{n}{2}(a_1 + a_n)$. Here, $n = 12$, $a_1 = 2022$, $a_n = 2044$. Thus, $S = rac{12}{2}(2022 + 2044) = 6 imes 4066 = 24396$. Dividing 24396 by 11: $11 imes 2216 = 24376$, so the remainder is $24396 - 24376 = 20$. However, $20 \mod 11 = 9$. Therefore, the remainder is $oxed{9}$. 📰 7Seas Casino Is Taking Over Casinosheres The Secret Strategy Thats Going Viral 2107147 📰 Turf Valley Resort 3744097 📰 Download Visual Studio 2017 Nowfree Windows Development Environment Revealed 631174 📰 Biryani Junction 805530 📰 Hes Not Reading Fiction This Code Is Real And The Past Is Speakingbut Only To Those Brave Enough To Listen Beyond The Noise 3552279 📰 Ouroboros 3730405 📰 Hyatt Place Sacramento Roseville 6422315 📰 Shyroll 5605052 📰 Surviving The Doomsday What You Never Knew Will Happen Before The World Ends 5120068 📰 Ground Venison Meal The Ultimate Protein Boost You Never Knew You Needed 2874977 📰 Jokes Of The Day 7872685 📰 Banken Roe The Best Top Us Banks Guaranteed To Boost Your Savings Instantly 8789019 📰 South Parks Colorado Set Episode Shocks Viewers With Shocking Colorado Color Symbolism 3929698 📰 Dollar Collapsing Against Cfasyou Wont Believe Whats Happening 1534552 📰 This Ms Recovery Key Could Save Your Databut Only 24 Hours Left Before It Expires 6975880