1.6 Sequences and Series

Expand $(10−x)12\displaystyle (10-x)^{\frac{1}{2}}$ 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, with $x = 2$ , to find an approximation of the value of $2\sqrt{2}$ . Give your answer to 3 decimal places.

[3]

1.6 Sequences and Series Questions

Expand $(10−x)12\displaystyle (10-x)^{\frac{1}{2}}$ 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, with $x = 2$ , to find an approximation of the value of $2\sqrt{2}$ . Give your answer to 3 decimal places.

[3]