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1.3.1 Sequences and series

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Question 50

Let $D (v)$ be a function representing the density of a gas relative to its volume $v$ , defined by

\left(2 - \frac{v}{8}\right)^{10}

Find the first 4 terms of the binomial expansion of $D (v)$ in ascending powers of $v$ , giving each coefficient as an integer.

[4]

A related physical quantity $Q\,$ is derived from the density function such that

\left(3 + \frac{2}{v}\right)^2 D(v)

Hence, find the constant term in the series expansion of $Q$ .

[3]

Markscheme

1.3.1 Sequences and series Questions

A Level
Maths
1.3.1 Sequences and series

99 exam-style questions on CCEA A Level Maths 1.3.1 Sequences and series. Each one has a worked solution and a mark scheme showing where the marks go.

1.3.1 Sequences and series

Question bank

1.3.1 Sequences and series

Easy Medium

Question 50

Let $D (v)$ be a function representing the density of a gas relative to its volume $v$ , defined by

\left(2 - \frac{v}{8}\right)^{10}

Find the first 4 terms of the binomial expansion of $D (v)$ in ascending powers of $v$ , giving each coefficient as an integer.

[4]

A related physical quantity $Q\,$ is derived from the density function such that

\left(3 + \frac{2}{v}\right)^2 D(v)

Hence, find the constant term in the series expansion of $Q$ .

[3]

Markscheme

1.3.1 Sequences and series Questions

A Level
Maths
1.3.1 Sequences and series

99 exam-style questions on CCEA A Level Maths 1.3.1 Sequences and series. Each one has a worked solution and a mark scheme showing where the marks go.