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1.4 Sequences and Series

1.4 Sequences and Series

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Question 217

In this question you must show all stages of your working. Solutions relying entirely on calculator technology are not acceptable.

In an arithmetic series:

  • the fourth term is 6
  • the sum of the first eight terms is 92

For this series,

a.

find the value of the first term, aaa, and the value of the common difference, ddd.

[5]
b.

Hence find the smallest value of nnn for which Sn>5000S_n > 5000Sn​>5000.

[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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