2p+1, 2p-2 and 4p-3 are the first three terms of arithmetic sequence, determine the vaue of p

Answer 1

according to the definition of an AP
2p-2 - (2p+1) = 4p-3 - (2p - 2)
-3 = 2p -1
2p = -2
p = -1

check: if p = -1, the terms are
-1, -4, -7 , which form an AP

Answer 2

sorry oobleck, forgot to change the name back
had added the @oobleck, since I wanted to show you something