Math calculator
Geometric Sequence Calculator
Find the nth term and finite sum of a geometric sequence.
Formula
Geometric sequence
a_n = a_1 r^(n - 1); sum = a_1(1 - r^n)/(1 - r)
First term 3, ratio 2, term 8 gives 384.
FAQs
What is the common ratio?+
It is the multiplier from one term to the next.
What if the ratio is 1?+
The sum is simply first term multiplied by number of terms.
How does the Geometric Sequence Calculator calculate the result?+
It uses the Geometric sequence: a_n = a_1 r^(n - 1); sum = a_1(1 - r^n)/(1 - r). First term 3, ratio 2, term 8 gives 384.
What information do I need to use the Geometric Sequence Calculator?+
Find the nth term and finite sum of a geometric sequence.
How accurate is the Geometric Sequence Calculator?+
Geometric Sequence Calculator applies the formula and assumptions shown on this page. Results may be rounded for readability, so verify changing rates, thresholds, medical guidance, or legal rules with the cited source or a qualified professional.
What should I check before using the Geometric Sequence Calculator result?+
Check that the units, dates, rates, and assumptions match your situation. Change one input at a time to understand which values have the largest effect on the result.
Math guide
How to use the Geometric Sequence Calculator
Find the nth term and finite sum of a geometric sequence. The page also explains the geometric sequence and shows a practical example: First term 3, ratio 2, term 8 gives 384.
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Enter your details
Enter the values for the geometric sequence calculator scenario you want to check.
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Check the calculation
Review the result alongside the geometric sequence: a_n = a_1 r^(n - 1); sum = a_1(1 - r^n)/(1 - r).
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Compare scenarios
Change one or more inputs to see how they affect the geometric Sequence Calculator result before you use the estimate.
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