Question

What is the n term of 1+2+4+8+16+32+..............

Answer 1

`2^(n-1)`

Explanation:

`\text{It is a geometric series.}\\\\\text{First term,}~ a = 1\\\\\text{Common ratio,}~ r = \frac 21 = 2\\\\\text{Nth term,}~ a_n = a r^(n-1)\\\\~~~~~~~~~~~~~~~~~~~=1\cdot 2^(n-1)\\\\~~~~~~~~~~~~~~~~~~~=2^(n-1)`