Math
Geometric Sequence Calculator
Find the nth term of a geometric sequence, where each term is multiplied by a common ratio.
This result is the value of the term at position n in the sequence.
Formula
Nth term = a1 × r raised to (n − 1), where r is the common ratio.
How it works
Enter the first term, the ratio, and n. The calculator multiplies the first term by the ratio raised to n minus one.
Worked example
For example, with a first term of 2, a common ratio of 3, and n = 5, the 5th term is 2 × 3 to the power of 4, which is 2 × 81 = 162.
FAQs
What does the Geometric Sequence do?
It takes the values you enter and works out the geometric sequence for you, showing the result straight away.
What should I enter?
Enter ordinary numbers in the boxes above. If a value does not make sense for this calculation, the page will ask you to check it instead of showing a wrong answer.
Can I use the result for homework or everyday math?
Yes. It is a general-purpose math helper; for exam or professional work, still check the steps against your own working.
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