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Mathematik-Online problems:

Problem 1: Proof of the Sum Formula with Induction


A B C D E F G H I J K L M N O P Q R S T U V W X Y Z

Use induction to proof for $ n\in\mathbb{N}$ :


a)      $ \displaystyle \sum_{k=1}^n k^3 = \frac{n^2(n+1)^2}{4} $           b)      $ \displaystyle \sum_{k=1}^n \frac{1}{k(k+1) }=\frac{n}{n+1}$

(Authors: Kimmerle/Roggenkamp/Höfert)

see also:


[Solutions]

  automatisch erstellt am 19.  4. 2006