3.4.1 Sequences and Series (A-level only)

a.

Expand $(5+2x)12\displaystyle (5+2x)^{\frac{1}{2}}$ 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, with $x = 0.5$ , to find an approximation of the value of $6\sqrt{6}$ . Give your answer to 3 decimal places.

[3]

a.

Expand $(5+2x)12\displaystyle (5+2x)^{\frac{1}{2}}$ 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, with $x = 0.5$ , to find an approximation of the value of $6\sqrt{6}$ . Give your answer to 3 decimal places.

[3]

3.4.1 Sequences and Series (A-level only) Questions