Neco 2023 Further Mathematics Question 7

Practice essay / theory question 7 from the 2023 Neco Further Mathematics examination. This question covers Binomial Theorem .

Neco 2023 Further Mathematics Essay / Theory

Topic: Binomial Theorem

Question 7 NECO • 2023 • FURTHER_MATHEMATICS • essay

Consider the expansion of (2x - 3)^5 using the Binomial Theorem.

Question Parts

( a )

Write the general term T_{k+1} in the expansion of (2x - 3)^5.

( b )

Find the coefficient of x^3 in the expansion.

( c )

Find the sum of the coefficients of all terms in which the power of x is an even number.

( d )

Evaluate the expansion at x = \frac{1}{2} and verify that the result equals the sum of all terms obtained by adding the constant term, the coefficient of x^3 multiplied by (\frac{1}{2})^3, and the sum found in part (c).

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About This Question

This is Neco 2023 Further Mathematics Question 7. It is one of the essay questions from the 2023 Neco Further Mathematics examination.

The question covers Binomial Theorem .

View More Neco 2023 Further Mathematics Questions More Neco Practice Questions Back to Questions

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