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Mathematics

Which term of the A.P. 1, 4, 7, 10, ……. is 52 ?

AP

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Answer

In the above A.P,

Common difference = 4 - 1 = 3,

First term = 1.

Let 52 be n^th term,

∴ 52 = 1 + (n - 1)(3)

⇒ 52 = 1 + 3n - 3

⇒ 52 = 3n - 2

⇒ 54 = 3n

⇒ n = 18.

Hence, 52 is 18th term of the A.P.

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