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Arithmetic and geometric sequencesIB MYP Maths Extended: Mind map

What this mind map covers

  • Arithmetic sequence
  • Arithmetic sum
  • Geometric sequence
  • Geometric sum
  • Compound interest
  • Exam tips

Exam questions on Arithmetic and geometric sequences

  1. An arithmetic sequence has first term u1=7u_1=7 and common difference d=4d=4.
    Find the sum of the first 2020 terms.2 marks
  2. A geometric sequence has first term u1=3u_1=3 and common ratio r=2r=2.
    Find the position of the first term in the sequence that is greater than 10001000.2 marks
  3. Amira invests AED 20002000 in an account that pays 4%4\% compound interest per year. The interest is added at the end of each year. A calculator may be used.
    Find the value of the investment after 55 years, to the nearest fils (2 decimal places).3 marks
See the full worksheet

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).