# How do you find the indicated term of each arithmetic sequence a_1=12 d=-7, n=22?

Mar 17, 2018

${22}^{n d}$ term color(indigo)(a_22 = 159

#### Explanation:

$n t h$ term of an Arithmetic Sequence is given by the formula,

${a}_{n} = {a}_{1} + \left(n - 1\right) \cdot d$

Given ${a}_{1} = 12 , d = 7 , n = 22$

$\therefore {a}_{22} = 12 + \left(22 - 1\right) \cdot 7$

${a}_{22} = 12 + \left(21 \cdot 7\right) = 12 + 147 = 159$