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Question
Which term of the A.P. 1, 4, 7, 10, ....... is 52?
Solution
The given A.P is 1, 4, 7, 10, .......
Here, first term a = 1 and common difference d = 4 – 1 = 3
Let nth 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 18th term of the given A.P. is 52.
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