Find the 20th term from the last term of the A.P. 3, 8, 13, …, 253.
Find the 20th term from the last term of the A.P. 3, 8, 13, …, 253.

Solution:

If A.P. is 3, 8, 13,…, 253, then the common difference is d= 5.

As a result, we can rewrite the given AP as follows:

253, 248, 243, …, 13, 8, 5

For the new AP,

the first term is a = 253

and the common difference is d = 248 253 = 5.

n = 20

Therefore, using nth term formula, we get,

a20 = a+(20−1)d

a20 = 253+(19)(−5)

a20 = 253−95

a = 158

As a result, the 20th term from the AP 3, 8, 13,…, 253.is 158.