Induction is a powerful way of proving known results.
Method Let P˅n be the statement to be proved Assume that the result works for n=k i.e. P˅k is true Then show the result works for n=k+1 Show the result works for n=1 i.e. P˅1 is true
NB: If P˅k is divisible by n ⇒ P˅k=nxADo not expand brackets in algebra unless absolutely necessary - Look for common factors first!
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