Geometric progression

Find a term in a sequence with a constant ratio.

Inputs

Use the units shown
RESULT
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Enter your values and select Calculate.

Formula & explanation
aₙ = arⁿ⁻¹

Variables & units

First term
Numeric value · minimum -1000000000, maximum 1000000000
Common ratio
Numeric value · minimum -1000000000, maximum 1000000000
Term number
Numeric value · minimum 1, maximum 1000

Worked example

2, 6, 18, … has its 5th term at 162.

Assumptions

Multiply by the ratio n − 1 times. Extremely large sequences may exceed numeric limits.

Formula version 1.0.0. JavaScript floating-point arithmetic applies. Results display up to 6 decimal places; stored values retain available precision. Use the units shown.

Practice with an example

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