Can a whole number of initial terms of the arithmetic progression 3, 6, 9

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

Problem

Can a whole number of initial terms of the arithmetic progression 3, 6, 9,

\dots

have a sum exactly equal to 250? (a) Yes, 10 terms (b) No, such a sum cannot be obtained (c) Yes, 14 terms (d) Yes, 22 terms