# What is the 15th term of the arithmetic sequence 17, 24, 31, … ?

Aug 8, 2018

See below

#### Explanation:

This is an arithmetic sequence, so it must have a common difference:
$d = 24 - 17 = 7$

Now to write formula to find the fifteenth term:
${a}_{15} = {a}_{1} + 7 \left(15 - 1\right)$

${a}_{15} = 17 + 98 = 115$