## mathmath333 one year ago greatest integer function

1. mathmath333

if $$\large \lfloor{ \rfloor}$$ is the Greatest integer function find value of \large \color{black}{\begin{align} \lfloor{\dfrac14+\dfrac{0}{50}\rfloor}+\lfloor{\dfrac14+\dfrac{1}{50}\rfloor}+\lfloor{\dfrac14+\dfrac{2}{50}\rfloor}+\cdots+\lfloor{\dfrac14+\dfrac{45}{50}\rfloor}=\hspace{1.5em}\\~\\ \end{align}}

2. anonymous

first 37 terms would be zero for GIF if 0<x<1 [x] =0 and till [1/4 + 37/50] all terms would be zero and after that all terms will become 1 I confirmed the 37th term by using 1/4 + x/50 = 1 x will turn out to 37.5 so till 37th term it will be less than 1 so GIF= 0

3. mathmath333

4. anonymous

Mathematica got 8. Refer to the attachment.

5. mathmath333

ok thnks

6. anonymous

?

7. anonymous

8. UnkleRhaukus

is it the $$\lfloor$$floor function$$\rfloor$$, or the $$\lceil$$ceiling function$$\rceil$$?