Find the 11th term from the last term of the arithmetic progression 10, 7, 4, …., -62.

Question

Philoid · Accepted Answer

Here last term of the progression l = -62.
First term a = 10 and common difference = 7 – 10 = -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 11^th term from the end
= l – (11 -1)d
= -62 – (10) × (-3)
= -62 + 30
= -32

Hence, 11^th term from the last is -32.

Find the 11^th term from the last term of the arithmetic progression 10, 7, 4, …., -62.