Math calculator
Geometric Sequence Calculator
Find the nth term and finite sum of a geometric sequence.
Formulaa_n = a_1 r^(n - 1); sum = a_1(1 - r^n)/(1 - r)
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.
FAQ6 common questions for this calculator.
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?+
For the Geometric Sequence Calculator, 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?+
For the Geometric Sequence Calculator, enter the known quantities requested by the calculator and use the units implied by the Geometric sequence. If a value is unknown, choose a calculator that solves for that specific variable.
How accurate is the Geometric Sequence Calculator?+
Geometric Sequence Calculator is mathematically reliable for the entered values and selected operation. It follows the Geometric sequence. Rounding, order of operations, and undefined cases can still affect interpretation.
What should I check before using the Geometric Sequence Calculator result?+
For the Geometric Sequence Calculator, check the input values, operation order, rounding precision, and undefined cases before using the result. Compare one changed value at a time when testing scenarios.
RelatedNearby math calculators for the next step after Geometric Sequence Calculator.
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.
- 1
Enter your details
Enter the values for the geometric sequence calculator scenario you want to check.
- 2
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).
- 3
Compare scenarios
Change one or more inputs to see how they affect the geometric Sequence Calculator result before you use the estimate.