Question 0410

Arithmetic and Geometric Progressions (APs, GPs)

2010 Paper 1 Question 3 Variant

Question

The sum,

{S_n,}

of the first

{n}

terms of a sequence

{u_1,}

{u_2,}

{u_3, \ldots}

is given by

S_n = n(3 n - 2+c),

where

{c}

is a constant.

(i)

Find

{u_n}

in terms of

{c}

and

{n.}

[3]

(ii)

Prove that the sequence is arithmetic.

[2]

Answer

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