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Arithmetic sequences and seriesEdexcel International A Level Maths: Mind map

nth term
Sum $S_n$

Arithmetic series

sequences and sums

unu_nSnS_nΣ\Sigma
Natural numbers
Sigma notation
Proof

Exam questions on Arithmetic sequences and series

  1. The first term of an arithmetic sequence is 77 and the common difference is 44.
    Find the smallest value of nn for which the nnth term is greater than 200200.2 marks
  2. A sequence has rrth term ur=3r+1u_r=3r+1.
    Find the value of ∑r=1120ur\displaystyle\sum_{r=11}^{20}u_r.2 marks
  3. An arithmetic series has third term 1111 and eighth term 3636. The sum of the first nn terms is SnS_n.
    Find the first term and the common difference.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).