Find a rule, 1 / 4, - 1 / 3, 7 / 16, - 13 / 25, 7 / 12

Find a rule, 1 / 4, - 1 / 3, 7 / 16, - 13 / 25, 7 / 12

Deformation: (1 ^ 2-0) / 2 ^ 2 - (2 ^ 2-1) / 3 ^ 2 (3 ^ 2-2) / 4 ^ 2 - (4 ^ 2-3) / 5 ^ 2 (5 ^ 2-4) / 6 ^ 2 now see it? The next term is - (6 ^ 2-5) / 49 = - 31 / 49 general term formula: an = (- 1) ^ (n + 1) [n ^ 2 - (n-1)] / (n + 1) ^ 2 = (- 1) ^ (n + 1) (n ^ 2-N + 1) / (n + 1) ^ 2