tanszek:oktatas:techcomm:information_-_basics:sciences
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| tanszek:oktatas:techcomm:information_-_basics:sciences [2025/09/15 17:51] – [Inductive Sciences] knehez | tanszek:oktatas:techcomm:information_-_basics:sciences [2025/09/15 17:52] (current) – [Inductive Sciences] knehez | ||
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| $$ \frac{k(k+1)}{2} + (k+1) = \frac{k(k+1) + 2(k+1)}{2} = \frac{(k+1)(k+2)}{2}. $$ | $$ \frac{k(k+1)}{2} + (k+1) = \frac{k(k+1) + 2(k+1)}{2} = \frac{(k+1)(k+2)}{2}. $$ | ||
| - | Thus, the formula also holds for \( n = k+1 \). | + | Thus, the formula also holds for \( n = k+1 \). Thus, by mathematical induction, the formula holds for all \(n\in\mathbb{N}\) |
tanszek/oktatas/techcomm/information_-_basics/sciences.1757958714.txt.gz · Last modified: 2025/09/15 17:51 by knehez