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How to prove the following inequality with complete induction?
Let $n \in \mathbb{N}$, and let $a_1, ... , a_n > 0.$
Show that:
I got the hint that we have to use this induction step for the induction proof:
And thats what I got so far in the Induction step ...
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Induction proof for product of $a^x$ is less than or equal to the sum of $x\times a$
So this type of problem has me stuck in proving some relation. I assumed to use induction but I am stuck at a certain step and cannot understand if there is a trick or perhaps my idea is just wrong:
...
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Inequality Induction Proof with Summation of Products
I'm doing some induction practice from the textbook Problems on Algorithms, and I couldn't figure out this problem:
For even $n \ge 4$ and $ 2 \le i \le \frac{n}{2}$:
$$
\sum_{k=1}^{i} \prod_{j=1}^{k}...
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