Q. For what values of p, are 2p+1, 13 and 5p-3 three consecutive terms of an A.P.?
Here is the link given below for the answer similar to your query :
https://www.meritnation.com/ask-answer/question/of-p-are-2p-1-7-and-3p-three-consecutive-terms-of-a/arithmetic-progressions/3672161
https://www.meritnation.com/ask-answer/question/of-p-are-2p-1-7-and-3p-three-consecutive-terms-of-a/arithmetic-progressions/3672161