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1.7 D: Sequences and series

1.7 D: Sequences and series

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Question 54

Consider the finite geometric series defined by the summation ∑i=0n−1ARi\sum_{i=0}^{n-1} A R^i∑i=0n−1​ARi.

Prove that the sum Sn S_n\,Sn​ of this series is given by the formula

Sn=A(1−Rn)1−R S_n = \frac{A(1 - R^n)}{1 - R} Sn​=1−RA(1−Rn)​
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Markscheme

1.7 D: Sequences and series Questions

  1. A Level
  2. /Maths
  3. /1.7 D: Sequences and series

308 exam-style questions on AQA A Level Maths 1.7 D: Sequences and series, covering 1.7.1 Binomial expansion, 1.7.2 Types of sequence (A-level only), 1.7.3 Sigma notation (A-level only), 1.7.4 Arithmetic sequences and series (A-level only), 1.7.5 Geometric sequences and series (A-level only), and 1.7.6 Sequences and series in modelling (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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