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Mathematik-Online problems:

Problem 957: Inductive proofs for particular sequences of 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
Prove via mathematical induction for $ n\in\mathbb{N}$:
a)
$ a_n=n^3 + 5n$ can be divided by $ 6$.
b)
$ b_n=\displaystyle{\frac{n}{3} + \frac{n^2}{2}+\frac{n^3}{6}}$ is a natural number.

(Authors: Boßle/Wipper/Abele)

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  automatisch erstellt am 6.  2. 2018