QuestionBeweisen Sie durch Induktion, dass $2n + 1 \leq n^2 \leq 2^n$ für alle $n \geq 4$ gilt.

Studdy Solution
So, we have shown that if the inequality holds for $n=k$, it also holds for $n=k+$.
Therefore, by the principle of mathematical induction, the inequality $2n+ \leq n^{2} \leq2^{n}$ holds for all $n \geq4$.