Finding the n^th Term of a Sequence

The n^th (or general) term of a sequence is usually denoted by the symbol a_n.

Example 1:

In the sequence 2, 6, 18, 54,··· the first term is
a₁ = 2, the second term is a₂ = 6 and so forth.

If you know the formula for the n^th term of a sequence in terms of n, then you can find any term.

Example 2:

a_n = n²

First term:a₁ = 1² = 1

Second term: a₂ = 2² = 4

Fifteenth term:a₁₅ = 15² = 225

Finding the nth Term of a Sequence