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Answer by Steven Alexis Gregory for Floor function repeated addition

$$ \left\lfloor r + \frac{19}{100}\right\rfloor + \left\lfloor r + \frac{20}{100} \right\rfloor + \left\lfloor r + \frac{21}{100}\right\rfloor + \dots + \left\lfloor r + \frac{91}{100}\right\rfloor =...

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Answer by fleablood for Floor function repeated addition

Don't worry about the fractional part. And don't worry about $[r]$. Find the precise value of $k$ where $[r + \frac k{100}]\ne [r+\frac {k+1}{100}]$. That is where $r + \frac {k}{100} < m \le r +...

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Floor function repeated addition

I've come across this problem: $$\left\lfloor r + \frac{19}{100}\right\rfloor + \left\lfloor r + \frac{20}{100} \right\rfloor + \left\lfloor r + \frac{21}{100}\right\rfloor + \dots + \left\lfloor r +...

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