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mathmath333

  • one year ago

greatest integer function

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  1. mathmath333
    • one year ago
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    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
    • one year ago
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    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
    • one year ago
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    is the answer 9 ?

  4. anonymous
    • one year ago
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    Mathematica got 8. Refer to the attachment.

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  5. mathmath333
    • one year ago
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    ok thnks

  6. anonymous
    • one year ago
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    ?

  7. anonymous
    • one year ago
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  8. UnkleRhaukus
    • one year ago
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    is it the \(\lfloor\)floor function\(\rfloor\), or the \(\lceil\)ceiling function\(\rceil\)?

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