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anonymous

  • one year ago

two large numbers of the fibonacci sequene are f 50= 12586269025 and 51=20365011074 what is the approximate value of the quotient f61/f60

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  1. anonymous
    • one year ago
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    a1.618 b0.618 c2.618 d2 e3.142

  2. campbell_st
    • one year ago
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    well find the ratio of \[\frac{f_{51}}{f_{50}} = \] you can check it the sequence is 1, 1, 2, 3, 5, 8, 13, 21, so what is the ratio of 21/13 is it close to 13/8 and then compare it to \[\frac{f_{51}}{f_{50}} = \]

  3. anonymous
    • one year ago
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    how do i find the ratio

  4. campbell_st
    • one year ago
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    its just a fraction 13/8 = 1.625 21/13 = 1.61538 so what is 12586269025/20365011074 I'd expect it's getting close to 1.608

  5. anonymous
    • one year ago
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    i got 0.618033988749895

  6. campbell_st
    • one year ago
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    oops should be the other way around 20365011074/12586269025

  7. anonymous
    • one year ago
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    yep thnx so the answer should be B

  8. anonymous
    • one year ago
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    ?

  9. campbell_st
    • one year ago
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    did you recalculate it...?

  10. anonymous
    • one year ago
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    recalculate 20365011074/12586269025 yep

  11. campbell_st
    • one year ago
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    as the recalculation gives 1.61803 so which is a good choice...

  12. anonymous
    • one year ago
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    so im confused would it be A or B

  13. anonymous
    • one year ago
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    A

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