4.1 Expanding (1 + x)^n

Question 10

a.

Find, in ascending powers of $x$ , the first three non-zero terms of the binomial series expansion of

\sqrt[3]{1 + 3x^2} \quad \quad |x| < \frac{1}{\sqrt{3}}

giving each coefficient as a simplified fraction.

[3]

b.

Use the expansion from part (a) with $\frac{1}{2}$ to find a rational approximation to $\cdot \sqrt[3]{7}$ , where $k$ is a constant you must determine.

[4]

4.1 Expanding (1 + x)^n

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Question 10

a.

Find, in ascending powers of $x$ , the first three non-zero terms of the binomial series expansion of

\sqrt[3]{1 + 3x^2} \quad \quad |x| < \frac{1}{\sqrt{3}}

giving each coefficient as a simplified fraction.

[3]

b.

Use the expansion from part (a) with $\frac{1}{2}$ to find a rational approximation to $\cdot \sqrt[3]{7}$ , where $k$ is a constant you must determine.

[4]

4.1 Expanding (1 + x)^n

Question 10

Markscheme

4.1 Expanding (1 + x)^n

Question 10

Markscheme

4.1 Expanding (1 + x)^n

Question 10

4.1 Expanding (1 + x)^n Questions

4.1 Expanding (1 + x)^n

Question 10

4.1 Expanding (1 + x)^n Questions