Neco 2025 Mathematics Question 9

Practice essay / theory question 9 from the 2025 Neco Mathematics examination. This question covers Sequences and Series .

Neco 2025 Mathematics Essay / Theory

Topic: Sequences and Series

Question 9 NECO • 2025 • MATHEMATICS • essay

A sequence \(\{a_n\}\) is defined by \(a_1 = 3\) and for \(n \ge 1\) the recurrence relation \(a_{n+1}=2a_n+(-1)^n\).

( a )

Find the value of \(a_5\).

( b )

Calculate the sum \(S_5 = a_1+a_2+\dots +a_5\).

( c )

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

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This is Neco 2025 Mathematics Question 9. It is one of the essay questions from the 2025 Neco Mathematics examination.

The question covers Sequences and Series .

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