# How do you find the indicated term of the arithmetic sequence a_1=7, d=3, n=14?

Mar 17, 2018

${a}_{14} = 46$

#### Explanation:

${a}_{1} = 7 , d = 3 , n = 14$

${a}_{2} = {a}_{1} + \left(2 - 1\right) \cdot d = 7 + 3 = 10$

${a}_{3} = {a}_{1} + \left(3 - 1\right) \cdot d = 7 + 6 = 13$

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

$\therefore {a}_{14} = {a}_{1} + \left(14 - 1\right) \cdot d = 7 + 13 \cdot 3 = 7 + 39 = 46$