Question

For what value of p are 2p-1,7,3p three consecutive terms of an A.P

Answer 1

consider if three terms a b and c are in AP
then b-a=c-b
or 2b=a+c

Answer 2

Answer:

The value of p is 3.

Step-by-step explanation:

It is given that 2p-1, 7, 3p are three consecutive terms of an A.P.

If a, b, c are in AP, then

$a+c=2b$

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

$2p-1+3p=14$

$5p-1=14$

$5p=14+1$

$5p=15$

$p=\frac{15}{5}$

$p=3$

Therefore the value of p is 3.