Geometric Sequence Calculator

Calculate any term, sum, or product of a geometric sequence with detailed step-by-step solutions.

Input Parameters

First Term (a₁)

Common Ratio (r)

Term Number (n)

Calculation Type

Your geometric sequence:

2, 6, 18, 54, 162, …

Geometric sequence formula:

aₙ = a₁ × rⁿ⁻¹

Where aₙ is the nth term, a₁ is the first term, and r is the common ratio.

162

5th term of the geometric sequence

2, 6, 18, 54, 162

Each term is obtained by multiplying the previous term by 3

Formula: aₙ = a₁ × rⁿ⁻¹

Substitute values: a₅ = 2 × 3⁵⁻¹

Simplify exponent: a₅ = 2 × 3⁴

Calculate power: a₅ = 2 × 81

Final result: a₅ = 162

Geometric Sequence Calculation

First term (a₁) = 2

Common ratio (r) = 3

Term number (n) = 5

Calculation: aₙ = a₁ × rⁿ⁻¹

a₅ = 2 × 3⁴

a₅ = 2 × 81

Result: 162