Calculate the nth term, sum of terms, and sum to infinity of a geometric sequence. Enter the first term (a), common ratio (r), and number of terms (n).

aₙ = 162.00
Sₙ = 242.00
Sum to infinity: N/A (|r| ≥ 1)
Sequence: 2, 6, 18, 54, 162

Formulas: aₙ = a·rⁿ⁻¹. Sₙ = a·(rⁿ−1)/(r−1). S∞ = a/(1−r) for |r| < 1.

Geometric Sequence

A geometric sequence is a sequence where each term after the first is found by multiplying the previous term by a fixed ratio r .

How to Use This Calculator

1. Enter a: The first term.
2. Enter r: The common ratio.
3. Enter n: The number of terms.
4. Calculate: Click “Calculate” or press Enter.