Question

For what value of $P$ are $2P+1,13$ and $5p-3$ the terms of an $AP$.

Answer 1

Given,

$2p+1,13,5p-3$ are in A.P.

$\Rightarrow 13-2p-1=5p-3-13$

$12-2p=5p-16$

$12+16=5p+2p$

$28=7p$

$\therefore p=4$