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3.3 Sequences and series (A-level only)

3.3 Sequences and series (A-level only)

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Question 37

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

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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3.3 Sequences and series (A-level only) Questions

  1. A Level
  2. /Maths
  3. /3.3 Sequences and series (A-level only)

200 exam-style questions on CCEA A Level Maths 3.3 Sequences and series (A-level only), covering 3.3.1 Sequences and series (A-level only), 3.3.2 Sequences and series (A-level only), 3.3.3 Sequences and series (A-level only), 3.3.4 Sequences and series (A-level only), 3.3.5 Sequences and series (A-level only), 3.3.6 Sequences and series (A-level only), 3.3.7 Sequences and series (A-level only), and 3.3.8 Sequences and series (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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