| 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)
egd=u2−u1, 7−3
d=4 A1 N2
[2 marks]
a.
correct approach (A1)
egu10=3+9(4)
u10=39 A1 N2
[2 marks]
b.
correct substitution into sum (A1)
egS10=5(3+39), S10=102(2×3+9×4)
S10=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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