| Date | May 2010 | Marks available | 4 | Reference code | 10M.2.hl.TZ2.1 |
| Level | HL only | Paper | 2 | Time zone | TZ2 |
| Command term | Calculate, Find, and Write down | Question number | 1 | Adapted from | N/A |
Question
Consider the arithmetic sequence 8, 26, 44, …… .
(a) Find an expression for the nthnth term.
(b) Write down the sum of the first n terms using sigma notation.
(c) Calculate the sum of the first 15 terms.
Markscheme
(a) 18n−1018n−10(or equivalent) A1
(b) n∑1(18r−10)n∑1(18r−10)(or equivalent) A1
(c) by use of GDC or algebraic summation or sum of an AP (M1)
15∑1(18r−10)=201015∑1(18r−10)=2010 A1
[4 marks]
Examiners report
An easy starter question, but few candidates seem to be familiar with the conventions of sigma notation.
Syllabus sections
Topic 1 - Core: 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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