# What is the 30th term of the arithmetic series 3, 7, 11, 15...?

Jun 21, 2018

$30$ th term is $119$

#### Explanation:

$S = \left\{3 , 7 , 11 , 15. \ldots\right\}$ , first term is $a = 3$ , common difference

is d=7-3=4 ; n th term is t_n =a+(n-1)d ; n=30

$\therefore {t}_{30} = 3 + \left(30 - 1\right) 4 = 3 + 116 = 119$

$30$ th term is $119$ [Ans]