# Geometric Sequence Formula

The geometric sequence formula refers to determining the nth term of a geometric sequence. To recall, a geometric sequence or a geometric progression is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed.

## Formula for Geometric Sequence

The Geometric Sequence Formula is given as,

 gn = g1rnâˆ’1

Where,

• gn is the nth term that has to be found
• g1 is the 1st term in the series
• r is the common ratio

Try This: Geometric Sequence Calculator

### Solved Example Using Geometric Sequence Formula

Question 1: Find the 9th term in the geometric sequence 2, 14, 98, 686,…

Solution:

The geometric sequence formula is given as,
gn = g1 Ã— r(n â€“ 1)

From the given problem,
g1 = 2 ; n = 9 ; r = 7
g9 = 2 Ã— 7(9 â€“ 1)
g9 = 2 Ã— 78
g9 = 2 Ã— 5764801
g9 = 11529602

Therefore, the 9th term of the sequence is 11529602.

More topics Related to Geometric Sequence Formula
Infinite Geometric Series Formula Geometric Series Formula