0580/12 May/Jun 2024, Question 11: Pattern Sequences and Special Sequences
Cambridge IGCSE Mathematics 0580 · Paper 12 (Core) · Calculator · 4 marks
اقرأ هذا الحل مشروحاً بالعربي ←
The question, in short
A sequence begins 23, 17, 11, 5. Write the next two terms and find the nth term.
Summarised in our own words. Use the official paper for the exact wording and any diagrams.
Part (a) · 2 marks
Write down the fifth and sixth terms of the sequence 23, 17, 11, 5.
- 1Each term goes down by 6
- 25 − 6 = −1, −1 − 6 = −7
Answer−1, −7
Part (b) · 2 marks
Find an expression for the nth term of the sequence.
- 1Difference −6, so −6n + c
- 2n = 1: −6 + c = 23, c = 29
- 3nth term = −6n + 29
Answer−6n + 29
Stuck on a step? Read the free lesson: Pattern Sequences and Special Sequences
Practise more pattern sequences and special sequences questions
Real 0580 past-paper questions, marked on your working like the exam, with a worked solution for every part.
Practise free on LemmaraMore past-paper questions on pattern sequences and special sequences
Also searched as: 0580/12/M/J/24 · 0580_s24_qp_12 · 0580 s24 12 · question 11.
Lemmara is an independent study tool, not affiliated with or endorsed by Cambridge International Education. The worked solutions are Lemmara’s own.