Find sequence 3 / 1 * (2 ^ 2), 5 / (2 ^ 2) * (3 ^ 2), 7 / (3 ^ 2) * (4 ^ 2) The sum of the first n terms of (2n + 1) / A ^ 2 (n + 1) ^ 2

Find sequence 3 / 1 * (2 ^ 2), 5 / (2 ^ 2) * (3 ^ 2), 7 / (3 ^ 2) * (4 ^ 2) The sum of the first n terms of (2n + 1) / A ^ 2 (n + 1) ^ 2

(2n+1)/n^2(n+1)^2 = 1/n^2 - 1/(n+1)^2
SUM(3/1*(2^2),5/(2^2)*(3^2),7/(3^2)*(4^2),…… ,(2n+1)/a^2(n+1)^2)
=(1/1-1/2^2)+(1/2^2-1/3^2)+(1/3^2-1/4^2)+.+(1/n^2-1/(n+1)^2)
=1-1/(n+1)^2

Elden Ring Premiere

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