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Determine the sum for the arithmetic series: n = 41, t1 = 17, t41 = 245 A. 303 B. 5,371 C. 10,824 D. 7,105
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A(n) = A(1) + a (n-1) A(41) = A(1) + a (41-1) a = (245 -17)/40 a = 5.7 A(n) = 17 + 5.7(n-1) or = 11.3 + 5.7n S(n) = ∑ (11.3 + 5.7i) = 11.3 n + 5.7 (½) (n)(n+1) S(41) = 11.3 (41) + 5.7 (½) (41)(42) = 5371
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