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proof by mathematical induction

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show that 1.2.3 + 2.3.4 + ... +n(n+1) (n+2) = n(n+1)(n+2)(n+3)/4
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prove the result for a small positive integer
say n=1
assume the result for n=k and use that
to prove the result for n=k+1

answer and  some steps are given below

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other examples
proof of n^2 < 2^n for every integer n>=5     -----> (mathematical induction problem)

proof of 1^3 +2^3 + 3^3 +...+ n^3 = [ ( n (n+1) ) /2 ] ^2  -----> (mathematical induction problem)





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formulae on sequences and series
(trig. formulae
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tags: mathematical induction, discrete induction ,  math , homework help


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