Neco 2022 Further Mathematics Question 7

Practice essay / theory question 7 from the 2022 Neco Further Mathematics examination. This question covers Binomial Theorem .

Neco 2022 Further Mathematics Essay / Theory

Topic: Binomial Theorem

Question 7 NECO • 2022 • FURTHER_MATHEMATICS • essay

Consider the expansion of \((x+2)^{n}\) where \(n\) is a positive integer. It is given that the coefficient of \(x^{3}\) in the expansion equals 560.

Question Parts

( a )

Determine the value of \(n\).

( b )

Using the value of \(n\) obtained in part (a), find the sum of the coefficients of all terms in the expansion whose powers of \(x\) are even (i.e., the terms containing \(x^{0}, x^{2}, x^{4},\dots\)). State the method you use.

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About This Question

This is Neco 2022 Further Mathematics Question 7. It is one of the essay questions from the 2022 Neco Further Mathematics examination.

The question covers Binomial Theorem .

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