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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 $oxed{9}$. 📰 Top 10 Oracle Peoplesoft Classes That Boost Your Skills And Earning Potential 7828222 📰 A House Divided Cannot Stand The Secret Reason Americas Future Is At Risk 14140 📰 Life Beyond Earth Planet Life Uncovered In Ways Science Never Predicted 1268751 📰 Youre Removing Data Validation In Excel 849291 📰 This Fidelity Pension Hack Could Double Your Retirement Savings Overnight 7018662 📰 You Wont Believe What Lies Beneath Jersey Garden Malls Roof 621752 📰 Zooey Deschanel Movies And Tv Shows 6648780 📰 You Wont Believe How Green Wallpaper Changes Your Homes Vibe Overnight 2844570 📰 10M Grant Just Droppedwhat The Department Of Health And Human Services Is Funding You Need To See 7593224 📰 Altcom Just Leaked The Dark Side Of The Internet You Never Knew Existed 8656155 📰 Jdk 17 Installation Shock Get It Up Run Without Any Hassle Today 7980944 📰 Add Roblox To Account 4060615 📰 Village Rhapsody 4813547 📰 Adding Emojis To Outlook 952273 📰 How To Add Local Files To Spotify 7069537