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Date	November 2017	Marks available	2	Reference code	17N.1.sl.TZ0.2
Level	SL only	Paper	1	Time zone	TZ0
Command term	Find	Question number	2	Adapted from	N/A

Question

In an arithmetic sequence, the first term is 8 and the second term is 5.

Find the common difference.

[2]

Find the tenth term.

[2]

Find the sum of the first ten terms.

[2]

Markscheme

subtracting terms (M1)

eg $\,\,\,\,\,$ $5 - 8,{\text{ }}{u_2} - {u_1}$

$d = - 3$ A1 N2

[2 marks]

correct substitution into formula (A1)

eg $\,\,\,\,\,$ ${u_{10}} = 8 + (10 - 1)( - 3),{\text{ }}8 - 27,{\text{ }} - 3(10) + 11$

${u_{10}} = - 19$ A1 N2

[2 marks]

correct substitution into formula for sum (A1)

eg $\,\,\,\,\,$ ${S_{10}} = \frac{{10}}{2}(8 - 19),{\text{ 5}}\left( {2(8) + (10 - 1)( - 3)} \right)$

${S_{10}} = - 55$ A1 N2

[2 marks]

Examiners report

[N/A]

Syllabus sections

Topic 1 - Algebra » 1.1 » Arithmetic sequences and series; sum of finite arithmetic series; geometric sequences and series; sum of finite and infinite geometric series.

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