Find the 8th term from end of the arithmetic progression 1, 4, 7, 10, …., 88.

Question

Philoid · Accepted Answer

Here last term of the progression l = 88.
First term a = 1 and common difference = 4 – 1 = 3
We know, In an AP, the nth term from last is

a_n = l – (n – 1)d

where a_n is nth term from last, l is last term and ‘d’ is common difference.

Thus 8^th term from the end
= l – (8 -1)d
= 88 – (7) × (3)
= 88 - 21
= 67

Hence, 8^th term from the last is 67.

Find the 8^th term from end of the arithmetic progression 1, 4, 7, 10, …., 88.