4024/12 May/Jun 2021, Question 20: Pattern Sequences and Special Sequences
Cambridge O Level Mathematics 4024 · Paper 12 (Non-calculator) · Non-calculator · 4 marks
اقرأ هذا الحل مشروحاً بالعربي ←
The question, in short
Given the first four fractions 12/16, 17/25, 22/36, 27/49 of a sequence, work out a formula giving the nth term.
Summarised in our own words. Use the official paper for the exact wording and any diagrams.
Solution · 4 marks
- 1Numerators 12, 17, 22, 27: go up by 5, so 5n + 7
- 2Denominators 16, 25, 36, 49 = 4², 5², 6², 7², so (n + 3)²
- 3nth term = (5n + 7)/(n + 3)²
Answer(5n + 7)/(n + 3)²
Stuck on a step? Read the free lesson: Pattern Sequences and Special Sequences
Practise more pattern sequences and special sequences questions
Real 4024 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: 4024/12/M/J/21 · 4024_s21_qp_12 · 4024 s21 12 · question 20.
Lemmara is an independent study tool, not affiliated with or endorsed by Cambridge International Education. The worked solutions are Lemmara’s own.