Given that the sum of odd and even terms of the arithmetic sequence {an} with even terms is 51, 60, and the first term is 1, then the general term formula of the sequence is obtained

Given that the sum of odd and even terms of the arithmetic sequence {an} with even terms is 51, 60, and the first term is 1, then the general term formula of the sequence is obtained

Suppose that the arithmetic sequence {an} has 2m items and the tolerance is D, then a1 + a3 + +a[2m-1]=51 (1)a2+a4+… +A [2m] = 60 (2) from (1), we get (a1 + a [2m-1]) m / 2 = 51 ∵ a [2m-1] = a1 + (2m-2) d = 1 - (2m-2) d ∵ [1 + 1 + (2m-2) D] m / 2 = 51, namely [1 + (m-1) D] m = 51 (3) (2) - (1), we get (a2-a1) + (a4-a3) +

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