anonymous
  • anonymous
two large numbers of the fibonacci sequene are f 50= 12586269025 and 51=20365011074 what is the approximate value of the quotient f61/f60
Mathematics
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
a1.618 b0.618 c2.618 d2 e3.142
campbell_st
  • campbell_st
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 \[\frac{f_{51}}{f_{50}} = \]
anonymous
  • anonymous
how do i find the ratio

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campbell_st
  • campbell_st
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
anonymous
  • anonymous
i got 0.618033988749895
campbell_st
  • campbell_st
oops should be the other way around 20365011074/12586269025
anonymous
  • anonymous
yep thnx so the answer should be B
anonymous
  • anonymous
?
campbell_st
  • campbell_st
did you recalculate it...?
anonymous
  • anonymous
recalculate 20365011074/12586269025 yep
campbell_st
  • campbell_st
as the recalculation gives 1.61803 so which is a good choice...
anonymous
  • anonymous
so im confused would it be A or B
anonymous
  • anonymous
A

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