Question

If p, q, r and s are in A.P. then r - q is ______.

Options

• s − p

• s − q

• s − r

• None of these

Answer 1

If p, q, r and s are in A.P. then r - q is s − r.

Explanation:

Given:

p, q, r, and s are in A.P. (Arithmetic Progression)

That means the common difference between the terms is the same. So:

q − p = r − q = s − r (Let this common difference be d)

From the above:

r − q = d

s − r = d

Hence,

r − q = s − r