Question

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

Answer 1

The given A.P is 1, 4, 7, 10, .......

Here, first term a = 1 and common difference d = 4 – 1 = 3

Let n^th term of the given A.P. be 52

`=>` 52 = a + (n – 1)d

`=>` 52 = 1 + (n – 1) × 3

`=>` 51 = (n – 1) × 3

`=>` n – 1 = 17

`=>` n = 18

Thus, the 18^th term of the given A.P. is 52.