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    OlympiadEasyAlgebra10–12

    What is the 20262026th term of the arithmetic sequence 5,9,13,17,…5, 9, 13, 17, \ldots?

    Qual é o termo de ordem 20262026 da progressão aritmética 5,9,13,17,…5, 9, 13, 17, \ldots?

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    Solution

    The common difference is 44, so an=5+4(n−1)a_{n} = 5 + 4(n - 1) and a2026=5+4×2025=8105a_{2026} = 5 + 4 \times 2025 = 8105. Using 4n4n instead of 4(n−1)4(n-1) overshoots by 44.