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Answer :
We want to find \(20^{th}\) term from the last term of given AP.
So, let us write given AP in this way:253 … 13, 8, 3
Here First term = a = 253,
Common Difference = d
= 8 – 13 = –5
Using formula \(a_n = a + (n - 1)d\), to find \(n^{th}\) term of arithmetic progression,
= 253 + (20 - 1) (-5)
= 253 + 19 (-5)
= 253 – 95
= 158
Therefore, the \(20^{th}\) term from the last term of given AP is 158.