Find a formula for the general term an of the sequence assuming the pattern of the first few terms continues.

Question

Find a formula for the general term an of the sequence assuming the pattern of the first few terms continues.

{ 7/2 , 7/4, 7/8, 7/16, 7/32, ....)

assume the first term is a₁

a_n=

Answer 1

the numerator is always 7

The denominators are powers of 2 - 2¹, 2² ...

So a_n = 7 / 2ⁿ