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.