Explanation

The formula for an arithmetic sequence lets you find any term without listing all terms.

Formula:
aₙ = a₁ + (n − 1)d

Where:

• aₙ = term you want

• a₁ = first term

• n = term number

• d = common difference

Example:
Find the 10th term if:
a₁ = 4 and d = 3

a₁₀ = 4 + (10 − 1)(3)
a₁₀ = 4 + 27
a₁₀ = 31