1.4 Sequences and Series

a.

Expand $1-2x)^{-3}$ 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 $1+x(1−2x)3\displaystyle \frac{1+x}{(1-2x)^3}$ up to and including $x^3$

[3]

a.

Expand $1-2x)^{-3}$ 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 $1+x(1−2x)3\displaystyle \frac{1+x}{(1-2x)^3}$ up to and including $x^3$

[3]

1.4 Sequences and Series Questions