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imqwerty

  • one year ago

Fun question

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  1. Hayleymeyer
    • one year ago
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    type faster! XD

  2. imqwerty
    • one year ago
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    originally posted by @ParthKohli Find the value of \[\sum_{n=1}^{\infty}\frac{F(n)}{2^n}\] where F(n)=n th term of fabronici series

  3. anonymous
    • one year ago
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    OOOOO the answer is...... something :D am i right?

  4. Hayleymeyer
    • one year ago
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    is that u tash?

  5. anonymous
    • one year ago
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    Who else would be this smart

  6. Hayleymeyer
    • one year ago
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    *giggels* XD

  7. anonymous
    • one year ago
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    XD I know what seba looks like....

  8. anonymous
    • one year ago
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    Yah..... that question is way to hard..... Is it Calculus?

  9. ganeshie8
    • one year ago
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    \[\sum_{n=0}^\infty F_nx^n = \frac{1}{1-x-x^2}\] plugin \(x = \frac{1}{2}\)

  10. imqwerty
    • one year ago
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    :D do u knw the derivation of this thing? :)

  11. ganeshie8
    • one year ago
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    derivation is pretty easy, there are hundreds of web pages that has this derivation...

  12. imqwerty
    • one year ago
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    i'll post a better fun question @ganeshie8 aka geniusie8

  13. imqwerty
    • one year ago
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    :D

  14. ganeshie8
    • one year ago
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    questions relating to fibonacci sequence are fun indeed! try this when you're free : \[\large \lim\limits_{n\to\infty}\dfrac{F_{n+1}}{F_n} ~~=~~\phi\] where \(\phi\) is the golden ratio.

  15. imqwerty
    • one year ago
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    thanks @ganeshie8

  16. ParthKohli
    • one year ago
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    Hey, I posted that on PA.

  17. imqwerty
    • one year ago
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    lol

  18. ParthKohli
    • one year ago
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    \[\lim_{n \to \infty } \frac{F_{n+1}}{F_n} = L \]\[= \lim_{n\to \infty} \frac{F_n}{F_n} + \lim_{n \to \infty} \frac{F_{n-1}}{F_n}\]\[= 1 + \frac{1}{L}\]

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