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0580/22 Oct/Nov 2024, Question 20: Exponential Sequences

Cambridge IGCSE Mathematics 0580 · Paper 22 (Extended) · Calculator · 2 marks

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The question, in short

Work out a formula giving the nth term of the sequence 1/7, 1, 7, 49, 343, 2401, ...

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

Solution · 2 marks

  1. 1The terms are powers of 7: 7⁻¹, 7⁰, 7¹, 7², …
  2. 2The power is 2 less than n
  3. 3nth term = 7ⁿ⁻²

Answer7ⁿ⁻²

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