# Geometric Sequence Formula

The geometric sequence formula refers to determining the nthÂ term of a geometric sequence. To recall, a geometric sequence or aÂ geometric progressionÂ 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,

 gnÂ = g1rnâˆ’1

Where,

• gnÂ is the nthÂ term that has to be found
• g1Â is the 1stÂ term in the series
• r is the common ratio

Try This:Â Geometric Sequence Calculator

### Solved Example Using Geometric Sequence Formula

Question 1:Â Find the 9thÂ term in the geometric sequence 2, 14, 98, 686,â€¦
Solution:
The geometric sequence formula is given as,
gnÂ = g1Â Ã— r(n â€“ 1)
From the given problem,
g1Â = 2 ; n = 9 ; r = 7
g9Â = 2 Ã— 7(9 â€“ 1)
g9Â = 2 Ã— 78
g9Â = 2 Ã— 5764801
g9Â = 11529602
Therefore, the 9th term of the sequence is 11529602.

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Infinite Geometric Series Formula Geometric Series Formula