Question

for what value of k will the consecutive terms 2k+1,3k+3and 5k-1form an Ap

Answer 1

The formula of AP series is ----------
b-a = c-b
a+c=2b

Let,
a=2k+1
b=3k+3
c=5k-1

Now,
(3k+3)-(2k+1) = (5k-1)-(3k+3)
(2k+1)+(5k-1) = 2(3k+3)
7k = 6k+6
k = 6 [Ans.]

Hope it will help you .

Answer 2

This is your answer.
hope it helps you
sorry actually in answer there's a little bit correction in equation I wrote (3x-3) but it was(3x+3) so anser after doing will come 6