For an arithmetic progression

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

Problem

For an arithmetic progression, the sum of the first

n

terms

S_n

satisfies

S_n \propto n

. Which one of the following statements is necessarily true? (a) The common difference equals the first term. (b) The

n

th term varies directly as

n

. (c) The common difference is zero. (d) The first term of the progression is zero.