4MA1/2FR Jun 2023, Question 19: The nth Term of a Linear Sequence
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2FR (Foundation) · Calculator · 2 marks
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The question, in short
A sequence begins 38, 31, 24, 17. Work out a formula using n that gives the value of any term in this sequence.
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Solution · 2 marks
- 138, 31, 24, 17
- 2Common difference = 31 − 38 = −7
- 3nth term = −7n + k
- 4Use first term: when n = 1, term = 38
- 5−7(1) + k = 38
- 6k = 38 + 7 = 45
- 7nth term = −7n + 45
- 845 − 7n
Answer45 − 7n
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