Bece Model Questions Vol1 2021 Mathematics Question 8

Practice essay / theory question 8 from the 2021 Bece Model Questions Vol1 Mathematics examination. This question covers Approximation, Binomial Theorem, Error Analysis .

Bece Model Questions Vol1 2021 Mathematics Essay / Theory

Topics: Approximation Binomial Theorem Error Analysis

Question 8 BECE_MODEL_QUESTIONS_VOL1 • 2021 • MATHEMATICS • essay

The binomial approximation \((1+x)^n \approx 1+nx\) is useful when \(|x|\) is small. Consider the expression \((1.03)^4\).

Question Parts

( a )

Using the linear (first‑order) binomial approximation, estimate the value of \((1.03)^4\).

( b )

Obtain a more accurate estimate by expanding \((1+0.03)^4\) using the binomial theorem up to the \(x^2\) term and ignoring higher‑order terms.

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About This Question

This is Bece Model Questions Vol1 2021 Mathematics Question 8. It is one of the essay questions from the 2021 Bece Model Questions Vol1 Mathematics examination.

The question covers Approximation, Binomial Theorem, Error Analysis .

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