(a) Define an arithmetic progression…

MATHEMATICS · Multi-part · CBSE · Mathematics · Arithmetic Progressions · Arithmetic Progressions

Problem

(a) Define an arithmetic progression (AP). (a) Define an arithmetic progression (AP). (b) If

m

arithmetic means are inserted between two real numbers

a

and

b

, prove that the common difference of the full progression equals

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

. (c) Using the result obtained in part (b), write down all the terms of the progression formed when five arithmetic means are inserted between

4

and

19