Consider the arithmetic progression 50, 47, 44, … with a negative common difference

MATHEMATICS · Subjective · CBSE · Mathematics · Arithmetic Progressions · Arithmetic Progressions

Problem

Consider the arithmetic progression 50, 47, 44, … with a negative common difference. (i) Write, in terms of

n

, the sum

S_n

of the first

n

terms of this progression. (ii) Determine the greatest integer value of

n

for which

S_n

is at least 200.