Which term of the A.P. 4,9,14… is 254?

Explanation

First term (a) = 4

Common difference (d) `= a_2 – a_1 `

`= 9 – 4 `

`= 5 `

We know that, `n^(th)` term (`a_n`)` = a + (n – 1)d `

And, given nth term is ` 254`

`4 + (n – 1)5 = 254`

`(n – 1)∙5 = 250`
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