A-Level Maths OCR B (MEI) (H640)

#6.7 nth term, recurrence relations

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Be able to generate a sequence using a formula for the kkth term, or a recurrence relation of the form ak+1=f(ak)a_{k+1} = f(a_k).

e.g. ak=2+3ka_k = 2 + 3k;

ak+1=ak+3a_{k+1} = a_k + 3 with a1=5a_1 = 5.

Notation:

  • kkth term: aka_k

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