| Date | May 2017 | Marks available | 2 | Reference code | 17M.1.sl.TZ2.1 |
| Level | SL only | Paper | 1 | Time zone | TZ2 |
| Command term | Find | Question number | 1 | Adapted from | N/A |
Question
In an arithmetic sequence, the first term is 3 and the second term is 7.
Find the common difference.
[2]
a.
Find the tenth term.
[2]
b.
Find the sum of the first ten terms of the sequence.
[2]
c.
Markscheme
attempt to subtract terms (M1)
eg\(\,\,\,\,\,\)\(d = {u_2} - {u_1},{\text{ }}7 - 3\)
\(d = 4\) A1 N2
[2 marks]
a.
correct approach (A1)
eg\(\,\,\,\,\,\)\({u_{10}} = 3 + 9(4)\)
\({u_{10}} = 39\) A1 N2
[2 marks]
b.
correct substitution into sum (A1)
eg\(\,\,\,\,\,\)\({S_{10}} = 5(3 + 39),{\text{ }}{S_{10}} = \frac{{10}}{2}(2 \times 3 + 9 \times 4)\)
\({S_{10}} = 210\) A1 N2
[2 marks]
c.
Examiners report
[N/A]
a.
[N/A]
b.
[N/A]
c.
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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