What is the formula for the nth term of an arithmetic sequence?
What is the formula for the nth term of an arithmetic sequence?
Explanation
The formula for the nth term of an arithmetic sequence is aₙ = a₁ + (n - 1)d, where:
aₙ is the nth term of the sequence
a₁ is the first term of the sequence
n is the term number (e.g., 1st term, 2nd term, etc.)
d is the common difference between consecutive terms
For example, if the first term (a₁) is 2 and the common difference (d) is 3, then the 5th term (a₅) would be calculated as follows:
a₅ = 2 + (5 - 1)3 = 2 + 4 * 3 = 2 + 12 = 14