Proof by induction – Further Pure Maths 1

Candidates should be able to:

  • use the method of mathematical induction to establish a given result (e.g. nr=1r4=14n2(n+1)2,un=12(1+3n1) for the sequence given by un+1=3un1 and u1=1,(4161)n=(3×2n212n3×2n+1632n+1),32n+2×5n3 is divisible by 8.);
  • recognise situations where conjecture based on a limited trial followed by inductive proof is a useful strategy, and carry this out in simple cases. (e.g. find the nth derivative of xex, find nr=1r×r!.

Proof by induction – Further Pure Maths 1 Video (1:36:40)

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