An arithmetic sequence has first term 60 and common difference .

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

Problem

An arithmetic sequence has first term 60 and common difference

-2.5

. (1) Given that the

k

th term of the sequence is zero, find the value of

k

. (2) Let

S_n

denote the sum of the first

n

terms of the sequence. Find the maximum value of

S_n