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3.3.4 Sequences and series (A-level only)

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Question 12

In an arithmetic sequence, the $r$ -th term is given by $u_r = u_1 + (r-1)d$ , where $u_1\,$ is the first term and $d\,$ is the common difference.

Show that the sum of the first $n\,$ terms of the corresponding arithmetic series is

S_n = \frac{n}{2}(2u_1 + (n-1)d)

[4]

Markscheme

3.3.4 Sequences and series (A-level only) Questions

A Level
Maths
3.3.4 Sequences and series (A-level only)

63 exam-style questions on CCEA A Level Maths 3.3.4 Sequences and series (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

3.3.4 Sequences and series (A-level only)

Question bank

3.3.4 Sequences and series (A-level only)

Easy Medium

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Question 12

In an arithmetic sequence, the $r$ -th term is given by $u_r = u_1 + (r-1)d$ , where $u_1\,$ is the first term and $d\,$ is the common difference.

Show that the sum of the first $n\,$ terms of the corresponding arithmetic series is

S_n = \frac{n}{2}(2u_1 + (n-1)d)

[4]

Markscheme

3.3.4 Sequences and series (A-level only) Questions

A Level
Maths
3.3.4 Sequences and series (A-level only)

63 exam-style questions on CCEA A Level Maths 3.3.4 Sequences and series (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.