Tim Vermeulen
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### Questions (11)

 7 Power tower inequality 5 Simplifying $a(a-2) = b(b+2)$ 4 Prove that $\sum_{i=1}^{m-1} i^k$ is divisible by $m$ 3 Proving there are no integer solutions for $3x^2=9+y^3$ 3 choosing $5$ non consecutive books from a shelve of $12$ [duplicate]

### Reputation (722)

 +10 There are 10 different people at a party. How many ways are there to pair them off into a collection of five pairings? +35 Inequality proof by induction, what to do next in the step +10 proving $n!>2^n\;\;\forall \;n≥4\;$ by mathematical induction +10 Counting squares of maximum size in a rectangle

 5 Is the term true? $\frac{\theta}{\theta - 1 } = \frac{1} {\theta-1} + 1$ 4 proving $n!>2^n\;\;\forall \;n≥4\;$ by mathematical induction 3 There are 10 different people at a party. How many ways are there to pair them off into a collection of five pairings? 3 Counting squares of maximum size in a rectangle 3 Comparing $2^n$ to $n!$

### Tags (28)

 10 elementary-number-theory × 5 3 puzzle 7 combinatorics × 5 1 factoring × 2 6 induction × 3 1 sequences-and-series × 2 5 terminology 1 prime-numbers 3 contest-math × 4 1 prime-factorization

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