## 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

1. anonymous

a1.618 b0.618 c2.618 d2 e3.142

2. 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 $\frac{f_{51}}{f_{50}} =$

3. anonymous

how do i find the ratio

4. 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

5. anonymous

i got 0.618033988749895

6. campbell_st

oops should be the other way around 20365011074/12586269025

7. anonymous

yep thnx so the answer should be B

8. anonymous

?

9. campbell_st

did you recalculate it...?

10. anonymous

recalculate 20365011074/12586269025 yep

11. campbell_st

as the recalculation gives 1.61803 so which is a good choice...

12. anonymous

so im confused would it be A or B

13. anonymous

A