Advanced nth Term Calculator 2025

The "nth term" is a formula that allows you to find any term in a sequence without having to write out all the terms. 'n' stands for the term number. For example, to find the 5th term, you would plug n=5 into the formula.

An arithmetic sequence is a list of numbers where the difference between any two consecutive terms is constant. This constant value is called the common difference (d).
Example: 3, 7, 11, 15... (the common difference is 4).
Formula: aₙ = a₁ + (n - 1)d, where a₁ is the first term.

A geometric sequence is a list of numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio (r).
Example: 2, 6, 18, 54... (the common ratio is 3).
Formula: aₙ = a₁ × rⁿ⁻¹, where a₁ is the first term.