3.4.1 Sequences and Series (A-level only)

a.

Expand $1+2x)^{-2}$ in ascending powers of $x\,$ up to and including $x^3$

[4]

b.

Write down the range of values of $x\,$ for which the expansion is valid.

[1]

c.

Use your expansion to find the expansion of $1−x(1+2x)2\displaystyle \frac{1-x}{(1+2x)^2}$ up to and including $x^3$

[3]

a.

Expand $1+2x)^{-2}$ in ascending powers of $x\,$ up to and including $x^3$

[4]

b.

Write down the range of values of $x\,$ for which the expansion is valid.

[1]

c.

Use your expansion to find the expansion of $1−x(1+2x)2\displaystyle \frac{1-x}{(1+2x)^2}$ up to and including $x^3$

[3]

3.4.1 Sequences and Series (A-level only) Questions