4MA1/1F Jun 2021, Question 17: Linear Sequences and Common Difference
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1F (Foundation) · Calculator · 2 marks
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The question, in short
Given the first four terms 85, 79, 73, 67 of an arithmetic sequence, derive a formula for the nth term using n.
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Solution · 2 marks
- 179 − 85 = −6
- 2Common difference = −6
- 3First term = 85
- 4nth term = 85 + (n − 1)(−6)
- 585 − 6(n − 1)
- 685 − 6n + 6
- 791 − 6n
Answer91 − 6n
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