Question

p, q, r are three consecutive terms of an AP then q will be _____ of p and r

Answer 1

Answer :

q is half the sum of p and r

$q = \frac{r + p}{2}$

Explanation :

Given,

p, q, r are three consecutive terms of AP.

✷ In an AP, difference between two successive terms is known as common difference(d).

→ d = q - p = r - q

→ q - p = r - q

→ q + q = r + p

→ 2q = r + p

Therefore,

$\boxed{q = \frac{r + p}{2} }$

Hence, q is half the sum of p and r.