The sum of the first terms of a sequence is given by .

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

Problem

The sum of the first nn terms of a sequence is given by Sn=3n2+5n  (n∈N)S_n = 3n^2 + 5n\; (n \in \mathbb{N}). (i) Show that the sequence formed by the individual terms is an arithmetic progression. (ii) Find the first term and the common difference of this progression. (iii) Determine the greatest term of the progression that is less than 200. (iv) Find the sum of all terms up to and including the term found in part (iii).

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