For a certain arithmetic progression the sum of the first terms is given by for every…

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

Problem

For a certain arithmetic progression the sum of the first

n

terms is given by

S_n = 3n^{2} + 5n

for every natural number

n

. (i) Express the

n

th term

T_n

of the progression in terms of the sums

S_n

and

S_{n-1}

. (ii) Using the relation found in part (i), write down the first three terms of the progression. (iii) Hence find the first term and the common difference of the progression.

Related theory

Arithmetic Progressions
Algebra
nth term of an AP

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