Question

Consider the arithmetic sequence 13, 24, 35, ....
b. Find the 40th term.

Answer 1

40th term of arithmetic sequence = 442

Explanation:

Here arithmetic sequence is given as 13, 24, 35, ....

First term, f = 13

Common difference , d = 24 - 13 = 11

We know that n th term of AP is

`t_n=f+(n-1)d`

We need to find 40 th term, that is n = 40

Substituting

`t_(40)=13+(40-1)* 11=13+39* 11=13+429=442`

40th term of arithmetic sequence = 442