Question

for what value of p , 2p-1 , 7and 3p three consecutive term of AP

Answer 1

$<b><font face=Copper black size=4 colour=purple>$$<b><marquee direction = "up" > <h3>$Given terms :

2p - 1, 7, 3p

Let,

$\mathsf{a_1}$ = 2p - 1

$\mathsf{a_2}$ = 7

$\mathsf{a_3}$ = 3p

If they are in A.P., then common difference will be same.

•°•

7 - ( 2p - 1 ) = 3p - 7

7 - 2p + 1 = 3p - 7

3p + 2p = 7 + 7 + 1

5p = 15

p = 3

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