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1.2 Arithmetic sequences and seriesIB Maths: Applications and Interpretation HL: Mind map

The sequence
The sum
Sigma notation

Arithmetic sequences

add the same $d$ each time

u1u_1ddSnS_n
Technology
Applications
Exam tips

Exam questions on 1.2 Arithmetic sequences and series

  1. An arithmetic sequence has first term u1=7u_1=7 and common difference d=4d=4.
    Find the value of nn for which un=135u_n=135.2 marks
  2. A cyclist trains for 20 days. On day 1 she cycles 12 km, and on each following day she cycles 1.5 km further than on the previous day.
    Find the first day on which she cycles more than 30 km.2 marks
  3. An arithmetic sequence has u3=11u_3=11 and u8=31u_8=31.
    Find the common difference dd and the first term u1u_1.3 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).