Question

Find the next term of the AP $3,10,17,24,.....$ ?

Answer 1

In an Arthmetic progression (A.P.), difference between two consecutive terms remain constant.

In the given A.P., 3, 10, 17, 24,....

We can see difference between two consecutive terms is,

$10-3=7$

$17-10=7$

$24-17=7$

Therefore, let the next term in the A.P. be $X$, then following hold,

$x-24=7$

$x=31$

Therefore, next term in AP is 31.