3.4.1 Sequences and Series (A-level only)

a.

Find the first four terms, in ascending powers of $x$ , of the binomial expansion of

(1−14x)8\left(1 - \frac{1}{4}x\right)^8

giving each term in simplest form.

[4]

b.

Hence find the coefficient of $x^3$ in the expansion of

5)\left(1 - \frac{1}{4}x\right)^8

giving the answer in simplest form.

[2]

a.

Find the first four terms, in ascending powers of $x$ , of the binomial expansion of

(1−14x)8\left(1 - \frac{1}{4}x\right)^8

giving each term in simplest form.

[4]

b.

Hence find the coefficient of $x^3$ in the expansion of

5)\left(1 - \frac{1}{4}x\right)^8

giving the answer in simplest form.

[2]

3.4.1 Sequences and Series (A-level only) Questions