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Home » The second term is \( a - d = 10 - d \), and the fourth term is \( a + d = 10 + d \). Their product is: - AMAZONAWS

The second term is \( a - d = 10 - d \), and the fourth term is \( a + d = 10 + d \). Their product is: - AMAZONAWS

📅 March 11, 2026 👤 scraface
Mar 11, 2026
The second term is \( a - d = 10 - d \), and the fourth term is \( a + d = 10 + d \). Their product is:

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📌 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 $oxed{9}$.
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