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Sigma notation and arithmetic seriesAQA A-Level Maths: Flashcards

What these 12 flashcards ask

  • nth term of an arithmetic sequence?
  • Sum of the first n terms of an arithmetic series?
  • Sum formula using the last term l?
  • What does \sum{r=1}^{n}ur mean?
  • \sum{r=1}^{n}k for a constant k?
  • How do you find \sum{r=m}^{n}ur?
  • How many terms in \sum{r=10}^{30}?
  • \sum{r=1}^{4}(3r+2)?
  • Common difference from terms?
  • a=7, d=4: the 20th term?
  • How do you find a and d from two terms?
  • When solving Sn= a given sum, what do you do with a negative root?

Exam questions on Sigma notation and arithmetic series

  1. An arithmetic sequence has first term 77 and common difference 44.
    Find the least value of nn for which the sum of the first nn terms exceeds 50005000.2 marks
  2. A series is given in sigma notation as ∑r=1n(3r+2)\sum_{r=1}^{n}(3r+2).
    Find ∑r=1030(3r+2)\sum_{r=10}^{30}(3r+2).2 marks
  3. An arithmetic series has third term 1717 and tenth term 4545.
    Find the first term and the common difference.3 marks
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Written by the Exaim team, led by Shaun Daswani (Head of Upper Secondary, Improve ME Institute; MSc Financial Mathematics, Imperial College London; BSc, UCL) and Jason Daswani (operational lead, Improve ME Institute; LSE).