Neco 2017 Mathematics Question 9

Practice essay / theory question 9 from the 2017 Neco Mathematics examination. This question covers Sequences and Series .

Neco 2017 Mathematics Essay / Theory

Topic: Sequences and Series

Question 9 NECO • 2017 • MATHEMATICS • essay

A sequence \(\{a_n\}\) is defined recursively by \(a_1 = 2\) and for \(n \ge 2\), \(a_n = 2\big(a_{n-1}+3\)\).

( a )

Write down the first five terms of the sequence.

( b )

Derive a closed‑form expression for the nth term \(a_n\).

( c )

Using the expression from part (b), find the smallest integer \(n\) for which \(a_n > 500\).

( d )

Find the sum \(S = a_1 + a_2 + \dots + a_n\) where \(n\) is the value obtained in part (c).

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This is Neco 2017 Mathematics Question 9. It is one of the essay questions from the 2017 Neco Mathematics examination.

The question covers Sequences and Series .

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