Question

which term of this series 4+9+14+...is 254.

Answer 1

Hola amigo

Here the first term = a = 4
and
the common difference = d = 9 - 4 = 5

Let n th term of the given A.P. be 254, then,
$a \frac{}{n} = 254 \\ \\ = > a + (n + 1)d = 254 \\ \\ = > 4 + (n - 1) 5 = 254 \\ \\ = > 5n = 255 \\ \\ = > n = 51$

Hence, the 51 th term of the given A.P. is 254.

Answer 2

Answer:

51

Step-by-step explanation:

They have asked which term of the given series is 254? The term can be found by A.P or arithmetic progression.

Given 4 + 9 + 14 +....................is 254

First term is a1 = 4. The common difference is d = 9 - 4 = 5

The nth term is 254. We use the formula

 an = a1 + (n - 1)d

254 = 4 + (n - 1)5

254 - 4 = (n - 1) 5

 250 / 5 = (n - 1)  

(n - 1) = 50  or n = 50 + 1 = 51

254 is the 51 st term in A.P