Lemmara logoLemmaraWorked solution

4MA1/2FR Jan 2019, Question 17: The nth Term of a Linear Sequence

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2FR (Foundation) · Calculator · 4 marks

اقرأ هذا الحل مشروحاً بالعربي ←

The question, in short

A sequence S starts 10, 16, 22, 28, 34. Work out its nth-term formula, then find a value appearing in both S and the sequence T with nth term n² − 3.

Summarised in our own words. Use the official paper for the exact wording and any diagrams.

Part (a) · 2 marks

Give a formula in n that produces the terms of S.

  1. 116 − 10 = 6, so common difference is 6
  2. 2first term: 10 = 6(1) + 4
  3. 3nth term = 6n + 4

Answer6n + 4

Part (b) · 2 marks

Determine a number that occurs in both sequences S and T.

  1. 1Continue S: 10, 16, 22, 28, 34, 40, 46
  2. 2List T = n² − 3: −2, 1, 6, 13, 22, 33, 46
  3. 322 and 46 are in both lists, so one number is 46

Answer46

Stuck on a step? Read the free lesson: The nth Term of a Linear Sequence

Practise more the nth term of a linear sequence questions

Real 4MA1 past-paper questions, marked on your working like the exam, with a worked solution for every part.

Practise free on Lemmara

More past-paper questions on the nth term of a linear sequence

Also searched as: 4MA1 2FR January 2019 · 4MA1/2FR · 4ma1 jan19 2fr · question 17.
Lemmara is an independent study tool, not affiliated with or endorsed by Pearson Edexcel. The worked solutions are Lemmara’s own.