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

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

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Given A.P. is 3, 8, 13, …, 253

Common difference, d= 5.

Therefore, we can write the given AP in reverse order as;

253, 248, 243, …, 13, 8, 5

Now for the new AP,

first term, a = 253

and common difference, 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

Therefore, 20th term from the last term of the AP 3, 8, 13, …, 253 is 158.

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