Question

How do you write the expression for the nth term of the sequence given `1, 2, 2^2/2, 2^3/6, 2^4/24, 2^5/120,...`?

Answer 1

`2^n/(n!)`

Explanation:

The general term is `2^n/(n!)`

We have also

`sum_(n=0)^oo2^n/(n!)=e^2`