Mathematik-Online problems: Problem 1: Proof of the Sum Formula with Induction

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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)

Solution:

automatisch erstellt am 19. 4. 2006