A-level · Sequences & series

Geometric sequences and seriesExam-style questions

Sequences with a constant common ratio — the nth term, the sum of n terms, and the sum to infinity (and exactly when it exists).

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29 questions · A-level level · mark scheme and worked solution on each · no sign-up to try

DifficultyAllLevel 2Level 3Level 4Level 5
  1. 1
    The sequence 2,6,18,54,…2, 6, 18, 54, \dots is geometric.
    (a) Find an expression for the nnth term.
    (b) Hence find the 66th term.
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