SOLUTION: 3/64, 3/32, 3/16, 3/8, 3/4 = 3........(what are the next answers after 3 on RHS if LHS is as given above.

Algebra ->  Sequences-and-series -> SOLUTION: 3/64, 3/32, 3/16, 3/8, 3/4 = 3........(what are the next answers after 3 on RHS if LHS is as given above.      Log On


   

Question 976050: 3/64, 3/32, 3/16, 3/8, 3/4 = 3........(what are the next answers after 3 on RHS if LHS is as given above.
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
3%2F64, 

Notice that if you leave the numerator as 3 and take half of the denominator,
you get

3%2F32,

Notice that if you leave the numerator as 3 and take half of the denominator,
you get

3%2F16, 

Notice that if you leave the numerator as 3 and take half of the denominator,
you get

3%2F8,

Notice that if you leave the numerator as 3 and take half of the denominator,
you get

3%2F4,

So you might suspect that to get the next term you might also leave the
numerator as 3 and take half of the denominator.  If you do that you get:

3%2F2,

And if you got that, you might also suspect that to get the next term
you would also leave the numerator as 3 and take half of the denominator.
If you do that you get: 

3%2F1 which reduces to 3

Leaving the numerator as 3 and taking half of the denominator.
If you do that you get:

3%2F0.5  Divide that on your calculator and you get 6

Edwin