Math...sequences, anyone?

Question

Tough Sequence Question..or maybe not?
1, _, _, 1/64

Fill in the blanks in this sequence with as many solutions as you can.

So far I got: 1/4, 1/16 or 4 and 16

Um the person who told me I have to learn myself is a moron. Its an extra credit question so we can use other sources.. Jeez retard.

Um okay i didnt ask your opinion Melody b/c its obvious you cant do math... thanks for nothing

Yea I just realized the 4 and 16 dont work... but thanks for all of your help!!

Answer 1

A. for "geometric" using multiplication by a factor:
1, 1/4, 1/16, 1/64
divide by 4 each time or multiplying by 1/4 each time
same as dividing 1 by 2^0, 2^2, 2^4, 2^6
same as pattern 1/(1*1), 1/(2*2), 1/(4*4), 1/(8*8)
same as pattern (8*8)/64, (4*4)/64, (2*2)/64, (1*1)/64

B. for "arithmetic" using addition or subtraction by a fixed factor:

64/64, 43/64, 22/64, 1/64
same as
1, 43/64, 11/32, 1/64
subtracting 21/64 each time

For "arithmetic" or "adding/subtracting" a fixed factor each time, you would have to average the difference between the first and fourth term, divide by three steps, and either add to 1/64 until you get to 1 or subtract from 64/64 until you get to 1/64, subtracting or adding the same number each time.

Example: for 10, 7, 4, 1
you would subtract 10-1 to get 9,
divide 9 by 3 steps to get "3" as the factor
So 10 -3 to get 7 -3 to get 4 -3 to get 1
or working backward 1 +3 to get 4 +3 to get 7 +3 to get 10

Here: for 64/64, __ , __ , 1/64
same as figuring out sequence
64, __, __, 1
you get 64-1 to get 63
divide 63 by 3 steps to get "21"
so "21/64" is your factor
that you add or subtract each time:

64/64, 43/64, 22/64, 1/64

same as
1, 43/64, 11/32, 1/64
subtracting 21/64 each time

C. If your teacher means you can use other patterns besides "geometric" or "arithmetic" you can follow any pattern as long as you show how it repeats clearly:
1, 6, 4, 1/64, 2, 7, 5, 2/75

1, 2, 6, 1/(2^6), 2, 3, 7, 2/(3^7)

1, 1/32, 1, 1/64, 1, 1/128, 1, 1/256

1, 1/64, 1, 1/64, 1, 1/64, 1, 1/64

Answer 2

1/4, 1/16

1/4, 16 will also work

hmm, your answer of 4, 16... not sure how that works. You would need more numbers after 1/64 in order to make that work.

Answer 3

pretend the 1 is really 1/1
so the problem is

1/1, 1/?, 1/?, 1/64
as the one numerator is constant
so in ttwo spteps you need to get from 1 to 64 by the same operation - only powwers of two can do this, so the answer is
for the first one 1/2^2, the second one is 1/(2^2)*(2^2)=16 as you rightly say
well done

Answer 4

1/4 and 1/16 look good to me. I don't think 4 and 16 would work though.

you might even be able to do 1/16 and 1/32.

Answer 5

1/4, 1/16 is right i believe

Answer 6

i know tha answer but u hav 2 learn yourself

Answer 7

you can't ask people to do it for you.
maybe you should ask HOW to solve it.