# How do you find a_13 for the arithmetic sequence -17, -12, -7, ...?

Nov 3, 2016

${T}_{13} = 43$

#### Explanation:

The general term of an A.P. is given by

${T}_{n} = {a}_{1} + \left(n - 1\right) d \text{ } \leftarrow$ we have $n = 13 , {a}_{1} = - 17 , d = 5$

${T}_{13} = - 17 + \left(12\right) \times 5$

${T}_{13} = - 17 + 60$

${T}_{13} = 43$