Question

find 'x' if (p-q),x,(p+q) are in A.P.​

Answer 1

Answer:

The value of x is q.

Step-by-step explanation:

If a, b and c are in AP then,

b - a = c - b

c - a = 2b

Use this relation to determine the value of x as follows:

$p+q-p+q=2x\\2q=2x\\x=q$

Thus, the value of x is q.

Answer 2

Answer:a2-a1=a3-a2

x-(p-q)=(p+q)-x

x-p+q=p+q-x

x+x=p+q+p-q

2x=2p

Therefore, x=p