Question

Which term of the AP 23,46,69,92,.....is 437?

Answer 1

Here is the answer..

Answer 2

Answer:

19

Step-by-step explanation:

We need to find which term of the A.P 23, 46, 69, 92 is 437.

We know formula for the nth term of the A.P is

$\mathbf{a_{n}\ =\ a\ +\ (n\ -\ 1)d}$

Where a is the first term of the A.P, d is the common difference of the A.P and n is number of term of the A.P.

Here $\mathbf{a_{n}\ =\ 437}$

                   d = 23

                    a = 23

Therefore, putting the values we get

437 = 23 + (n - 1)23

On solving we get,

414 = (n - 1) 23

$\frac{414}{23}\ =\ n\ -\ 1$

18 = n - 1

n = 19

Hence, 437 is 19th term of the A.P