If arithmetic means are inserted between two numbers and

MATHEMATICS · Single correct · CBSE · Mathematics · Arithmetic Progressions · Arithmetic Progressions

Problem

k

arithmetic means are inserted between two numbers

a

and

b\,(a<b)

, the common difference

d

of the resulting arithmetic progression is (a)

\dfrac{b-a}{k}

(b)

\dfrac{b+a}{k+1}

(c)

\dfrac{b-a}{k+1}

(d)

\dfrac{b-a}{k+2}