If arithmetic means are inserted between two numbers and

MATHEMATICS · Single correct · A Level · Mathematics · Sequences and series · Sequences and series

Problem

m

arithmetic means are inserted between two numbers

a

and

b

, what is the common difference

d

of the resulting arithmetic progression? (a)

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

(b)

\dfrac{b-a}{m}

(c)

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

(d)

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