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1.4 Sequences and Series

1.4 Sequences and Series

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Question 7
55%

A geometric series is a+ar+ar2+…a + ar + ar^2 + \dotsa+ar+ar2+…

Prove that the sum of the first n n\,n terms of the series is

Sn=a(rn−1)r−1 S_n = \frac{a(r^n - 1)}{r - 1} Sn​=r−1a(rn−1)​
[4]
Markscheme

1.4 Sequences and Series Questions

  1. A Level
  2. /Maths
  3. /1.4 Sequences and Series

308 exam-style questions on OCR A Level Maths 1.4 Sequences and Series, covering 1.4.1 Binomial expansion for positive integer n, 1.4.2 Link to binomial probabilities, 1.4.3 Binomial expansion for rational n (A-level only), 1.4.4 Validity of the expansion (A-level only), 1.4.5 Sequences (A-level only), 1.4.6 Increasing, decreasing and periodic sequences (A-level only), 1.4.7 Sigma notation (A-level only), 1.4.8 Arithmetic sequences and series (A-level only), 1.4.9 Geometric sequences and series (A-level only), 1.4.10 Sum to infinity of a geometric series (A-level only), and 1.4.11 Modelling with 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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