There is a sequence of 1 / 2, 1 / 3, 1 / 10, 1 / 15, 1 / 26, 1 / 35. What is the seventh number?

1/50
1/2=1/(1^2+1)
1/3=1/(2^2-1)
1/10=1/(3^2+1)
1/15=1/(4^2-1)
.
The nth number = 1 / (n ^ 2 + (- 1) ^ (n + 1)) (- 1 to the power of N + 1)
=1/50
The seventh number = 1 / (7 ^ 2 + 1)
=1/50

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