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4 +8 +12 + ... +4n = 2n ² + 2n using mathematical induction
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prove the result for a simple value say n=1
assume the result for n=k
then use that to prove the result for n=k+1
answer and some steps are given below
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(trig. formulae)
some other examples
prove that (x-y) is a factor of (x^n -y^n ) ----------mathematical induction
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)
1.2.3 + 2.3.4 + ... +n(n+1) (n+2) = n(n+1)(n+2)(n+3)/4 --------mathematical induction
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formulae on sequences and series
(trig. formulae)
(integration formulae)
(other math problems without classification) or problem index
(formulae on differentiation)
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tags: trigonometry, math, homework help, tutor