Geometric Sequence Calculator

Generate geometric sequences and analyze their properties.

Sequence Parameters

First Term (a1)

Common Ratio (r)

Number of Terms

Term Position (n)

a_5 =

162

2618541624861,4584,37413,12239,366

Sum of First 10 Terms

59,048

First Term

Common Ratio

Product of Terms

3.0252e+24

Geometric Mean

280.592231

Since |r| = 3 is greater than or equal to 1, the infinite sum does not converge.

Increasing

Unbounded

nth term:

a_n = a1 * r^(n-1)

Sum of n terms:

S_n = a1 * (1 - r^n) / (1 - r)

Infinite sum (|r| less than 1):

S = a1 / (1 - r)