# How do you find the term n=101, given the arithmetic sequence a_1=35 and d=3?

Jun 23, 2017

${T}_{101} = 335$

#### Explanation:

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

$n = 101 , a = 35 , d = 3$

$\therefore$ ${T}_{101} = 35 + \left(101 - 1\right) 3$

${T}_{101} = 35 + \left(100\right) 3$

${T}_{101} = 35 + 300$

${T}_{101} = 335$