Answer to Question #129322 in Discrete Mathematics for Asia haji

Question

Find formula for tha sequences with tha following first five terms 1,1/2,1/4,1/8,1/16

Answer 1

Given sequence has first five terms 1,1/2,1/4,1/8,1/16 .

This is a Geometric progression with first term $(a)$ $=1$ and common ratio $(r) = \frac{1}{2}$ .

Hence, its general term is $a_n = a r^{n-1}$

$\implies a_n = \frac{1}{2^{n-1}}$ .