Find the sequence 1 / 2, 1 / 3, 1 / 10, 1 / 15, 1 / 26, 1 / 35 law 1/2,1/3,1/10,1/15,1/26,1/35…… What's the law of life

Find the sequence 1 / 2, 1 / 3, 1 / 10, 1 / 15, 1 / 26, 1 / 35 law 1/2,1/3,1/10,1/15,1/26,1/35…… What's the law of life

Because the molecules are all 1, we just need to look at the law of denominator
The denominator is 2, 3, 10, 15, 26, 35
2=1²+1;3=2²-1;10=3²+1;15=4²-1,26=5²+1;35=6²-1.
We have seen the rule that the nth number is n & sup2; + (- 1) ^ (n-1)
So the sequence 1 / 2, 1 / 3, 1 / 10, 1 / 15, 1 / 26, 1 / 35 The rule is 1 / [n & sup2; + (- 1) ^ (n-1)]