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Questions and fully-worked solutions for high school and A‑level mathematics

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Try one — Geometric progression

Write down the 8th term in the geometric progression 1, 3, 9, …

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  1. The first term is a1 = 1 and the common ratio is r = 3. We want the n = 8th term.
  2. Apply an = a1 r n−1, so a8 = 1 × 37 = 2187

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