Find the 8th term from the end of the A.P. $7, 10, 13, …, 184$.

Given:

Given A.P. is $7, 10, 13, …, 184$.

To do:

We have to find the 8th term from the end of the given arithmetic progression. 

Solution:

In the given A.P.,

$a_1=7, a_2=10, a_3=13$

First term $a_1 = a= 7$, last term $l = 184$

Common difference $d = a_2-a_1 = 10 - 7 = 3$

We know that,

nth term from the end is given by $l - (n - 1 ) d$.

Therefore,

8th term from the end $= 184 - (8 - 1) \times 3 = 184 - 7 \times 3 = 184 - 21 = 163$.

The 8th term from the end of the given A.P. is $163$.