1.4 Sequences and Series

Expand $(16−3x)12\displaystyle (16 - 3x)^{\frac{1}{2}}$ in ascending powers of $x\,$ up to and including the term in $x^3$ .

[4]

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

[1]

Use your expansion, with a suitable value of $x$ , to find the value of $\sqrt{15.7}\,$ correct to 5 significant figures.

[2]

1.4 Sequences and Series Questions

Expand $(16−3x)12\displaystyle (16 - 3x)^{\frac{1}{2}}$ in ascending powers of $x\,$ up to and including the term in $x^3$ .

[4]

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

[1]

Use your expansion, with a suitable value of $x$ , to find the value of $\sqrt{15.7}\,$ correct to 5 significant figures.

[2]