The first five terms of known sequence are 1 / 2, 5 / 4, 7 / 8, 17 / 16, 31 / 32, and its general formula is?

The first five terms of known sequence are 1 / 2, 5 / 4, 7 / 8, 17 / 16, 31 / 32, and its general formula is?


[2^n+(-1)^n]÷2^n



General term formula of sequence 5,17,49129
Such as the title


n*2^(n+1)+1



General term formula of sequence 1 / 2,4 / 5,9 / 10,16 / 17


an=n²/(n²+1)



For the general term formula of sequence {n}, the first term is 5, and the rule is 5,7,9,11,13,15,17,19 ,


n= 1 2 3 .n
an= 5 7 9
Because a (n + 1) - A (n) = 2
So {an} is the arithmetic sequence d = 2
So an = a1 + (n-1) d = 5 + (n-1) * 2
=2n+3