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3.2 Arithmetic Series

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Question 36

An arithmetic series is defined by its first term $a\,$ and common difference $d$ . Prove that the sum of the first $n\,$ terms is given by the formula:

S_n = \frac{n}{2}[2a + (n-1)d]

[3]

ii a.

A model for the hourly energy output, $E_k$ (in Joules), of a pulsing laboratory generator during the $k$ -th hour is given by:

E_k = 7k + 3(-1)^k

Determine the value of: $E_{12}$

[1]

ii b.

$∑k=161Ek\sum_{k=1}^{61} E_k$

[4]

Markscheme

3.2 Arithmetic Series Questions

A Level
Maths
3.2 Arithmetic Series

36 exam-style questions on Edexcel A Level Maths 3.2 Arithmetic Series. Each one has a worked solution and a mark scheme showing where the marks go.

3.2 Arithmetic Series

Question bank

3.2 Arithmetic Series

Medium

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36

Question 36

An arithmetic series is defined by its first term $a\,$ and common difference $d$ . Prove that the sum of the first $n\,$ terms is given by the formula:

S_n = \frac{n}{2}[2a + (n-1)d]

[3]

ii a.

A model for the hourly energy output, $E_k$ (in Joules), of a pulsing laboratory generator during the $k$ -th hour is given by:

E_k = 7k + 3(-1)^k

Determine the value of: $E_{12}$

[1]

ii b.

$∑k=161Ek\sum_{k=1}^{61} E_k$

[4]

Markscheme

3.2 Arithmetic Series Questions

A Level
Maths
3.2 Arithmetic Series

36 exam-style questions on Edexcel A Level Maths 3.2 Arithmetic Series. Each one has a worked solution and a mark scheme showing where the marks go.