When a Mathematical statement is assumed to be true for values of n which are POSITIVE INTEGERS we can use
PROOF BY INDUCTION
PROOF BY INDUCTION BY TARA
PROOF BY INDUCTION IS OFTEN DESCRIBED AS A "DOMINO EFFECT"
ANY proof by Induction requires the three steps:
Step 1: Prove that it is true for n=1.
Step 2: Make the ASSUMPTION that the statement is true for some value of n=k.
Step 3: USING the ASSUMPTION, prove that the statement is also true for n=k+1.
PROOF BY INDUCTION can take various different forms.
PROOF OF THE SUMMATION OF SERIES FORMULA.
Use of Induction to prove DIVISIBILITY.
See a mini video on the proof by induction of THE BINOMIAL SERIES
NOTES THAT COULD BE USEFUL FROM MATHSHELPER
LINK TO FP1 WJEC PAST PAPERS
INTERACTIVE RESOURCES ON PROOF BY INDUCTION FROM UNIVERSITY OF PLYMOUTH
WJEC PAST PAPER QUESTIONS
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