3.4 Sequences and Series (A-level only)

Expand $1+4x)^{-2}$ in ascending powers of $x\,$ up to and including $x^3$

[4]

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

[1]

Use your expansion to find the expansion of $3x−1(1+4x)2\displaystyle \frac{3x-1}{(1+4x)^2}$ up to and including $x^3$

[3]

3.4 Sequences and Series (A-level only) Questions

Expand $1+4x)^{-2}$ in ascending powers of $x\,$ up to and including $x^3$

[4]

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

[1]

Use your expansion to find the expansion of $3x−1(1+4x)2\displaystyle \frac{3x-1}{(1+4x)^2}$ up to and including $x^3$

[3]