Reasoning

Geometric Progression nth Term

Find a term in a geometric progression.

aₙ = arⁿ⁻¹

Formula Explanation

Each term is obtained by multiplying the previous term by a constant ratio.

Variables Explained

a = First term; r = Common ratio; n = Term position.

Solved Example

Find the 5th term of 2, 6, 18, ...
a₅ = 2 × 3⁴ = 162.

Exam Tip

Check whether the ratio between consecutive terms is constant.