AlexHeuman
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### Questions (10)

 17 How to determine equation for $\sum_{k=1}^n k^3$ 6 $\sum _{k=1}^{n-1}k^p \lt \frac {n^{p+1}} {p+1} \lt \sum _{k=-1}^{n}k^p$ 4 If $x\lt y$ for arbitrary real x and y there exists a real r $r$ such that $x \lt r \lt y$ and hence infinitely many. 3 Is this an acceptable way to do a proof? 2 If x is rational, $x\ne 0$, and $y$ irrational, prove $x+y, x-y, xy, x/y$ and $y/x$ are all irrational.

### Reputation (301)

 +25 How to determine equation for $\sum_{k=1}^n k^3$ +5 Simple Calculus question about integrating a function +20 If $x\lt y$ for arbitrary real x and y there exists a real r $r$ such that $x \lt r \lt y$ and hence infinitely many. +5 If x is rational, $x\ne 0$, and $y$ irrational, prove $x+y, x-y, xy, x/y$ and $y/x$ are all irrational.

### Tags (12)

 0 calculus × 8 0 big-list 0 real-analysis × 3 0 proof-writing 0 proof-strategy × 2 0 education 0 summation × 2 0 elementary-number-theory 0 teaching 0 recreational-mathematics

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