# What is the nth term of the geometric sequence 4, 8, 16, 32, ...?

A sequence in which the ratio between two consecutive terms is the same is called a geometric sequence. For example, 2, 4, 8,16 is a geometric sequence as it has a common ratio equal to 2.

## Answer: The nth term of the geometric sequence 4, 8, 16, 32, ... is 4 × 2^{(n-1)}

Let us proceed step by step to find the nth term of the geometric sequence 4, 8, 16, 32, ...

**Explanation:**

From the given sequence 4, 8, 16, 32,

1st term = 4, Common ratio, r = 8 / 4 = 2

a_{n} = nth term and a_{1} = 4

a_{n} is given by the formula a_{n} = a × r^{n-1}

Here, r is the common ratio and a is the first term.

Therefore, nth term of the given sequence can be written as a_{n} = 4 × 2^{n - 1}