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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 ---------------------------------------------- ----------------------------------------------- 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 ================ * * ================ ![]() ![]() 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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articles) formulae on sequences and series (trig. formulae) (integration formulae) (other math problems without classification) or problem index (formulae on differentiation) rbmix.com tags: mathematical induction, discrete induction , math , homework help |