Question

for what value of p are 2p+1,13,5p-3 three consequtive terms of ap

Answer 1

2p+1,13,5p-3
they are terms of AP
so difference between first two terms = difference of last 2 terms
13-2p-1=5p-3-13
12+16=5p+2p
28=7p
$\huge\bold{p = 4}$

Answer 2

13-2p +1=5p-3-13
14-2p =5p-16
14+16=5p+2p
30/7=p
Hence for p=7 the given no.s will be in a consecutive ap

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