Consider the arithmetic progression 5, 9, 13, … .

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

Problem

Consider the arithmetic progression 5, 9, 13, … . (i) Explain how the general term

a_n = a + (n-1)d

of an arithmetic progression can be rearranged to express the term number

n

in terms of

a

d

and

a_n

. (ii) Using your explanation, find the position of the term whose value is 43 in the given progression.