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

Question

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

anonymous · Answer

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

campbell_st · Answer

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 · Answer

how do i find the ratio

campbell_st · Answer

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 · Answer

i got 0.618033988749895

campbell_st · Answer

oops should be the other way around 
20365011074/12586269025

anonymous · Answer

yep thnx so the answer should be B

anonymous · Answer

?

campbell_st · Answer

did you recalculate it...?

anonymous · Answer

recalculate 20365011074/12586269025
yep

campbell_st · Answer

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

anonymous · Answer

so im confused would it be A or B

anonymous · Answer

A