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Mathematik-Online problems:

Problem 30: Natural Numbers

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
Proof:
a)
For every $ n\in\mathbb{N}$ the number $ 1+3+5+7+\ldots + (2n+1)$ is a square.
b)
For every $ n\in\mathbb{N}$ the number $ 11^{\mathit{n}+1}+12^{2{\mathit n}-1}$ is divisible by 133.
(Authors: Lesky/Höllig/Höfert)

Solution:

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  automatisch erstellt am 18. 10. 2004