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Geometric Sequence Calculator - Online Calculator - Tutorpace

# Geometric Sequence Calculator

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Geometric sequence is a sequence or list of numbers where the common ratio between any two successive numbers is equal. In a Geometric sequence, we take the first term as ‘a’ and the common ratio as ‘r’. Geometric sequence calculator is the quick online tool which can calculate the ‘n’ term or sum of the numbers in Geometric sequence.

Example 1: Find the ‘6th’ term of a geometric sequence whose first term is 3 and the common ratio is 2.

In order to find the ‘6th’ term of the sequence, we use the formula,

‘nth’ term of the geometric sequence >  an = a* rn-1

Given first term, a = 3, common ratio, r = 2 and n = 6

a6 = 3 * (2)6-1

a6 = 3 * 25 > a6 = 3 * 32 = 96

6th term of the Geometric sequence is 96.

Example 2: Find the ‘7th’ term of a geometric sequence:2, 20, 200, 2000,….

In order to find the ‘7th’ term of the sequence, we use the formula,

‘nth’ term of the geometric sequence >  an = a* rn-1

From the given sequence we see that the first term, a = 2

Common ratio, r = 20/2  > r = 10 and n = 7

a7 =2 * (10)7-1

a7 = 2 * (10)6 > a7 = 2 * 106

7th term of the given Geometric sequence is 2000000.