You are supposed to show the next two in the pattern. 0, 1/2, 3/4, 7/8, 15/16?

Question

This question is for geometry. I need the answer SOON!

Answer 1

31/32, 63/64

Answer 2

I don't know what grade this is for.... but the formula is:

if the first in sequence is n=1

{16-[2^(5-n)]}/16

The whole purpose of your assignment is for you to learn how to recognize patterns.... You should really do it by yourself.

It may become easier for you to figure this out, if you first find the common denominator for all the numbers in your sequence, which is 16, and rewrite the entire sequence in this common denominator. If you do, you get:

0/16 8/16 12/16 14/16 15/16

Then, you might realize, the numerator is (from back to front) 1, 2, 4, 8, 16 less than 16... now you see, the pattern is reverse of 2 raised to the position....

Do you see it?

Answer 3

0/1 , 1/2 , 3/4, 7/8 , 15/16......



in the top number, double it and add one
in the bottom number, just double it


2(15) + 1 = 31
2(16) = 32

31/32

Answer 4

((2^(n - 1) - 1)/(2^(n - 1))
or
1 - (1/(2^(n - 1)))
or
1 - 2^(-(n - 1))
or
1 - 2^(-n + 1)

1 - 2^(-1 + 1)
1 - 2^0
1 - 1
0

1 - 2^(-2 + 1)
1 - 2^(-1)
1 - (1/2)
(1/2)

1 - 2^(-3 + 1)
1 - 2^(-2)
1 - (1/4)
(3/4)

1 - 2^(-4 + 1)
1 - 2^(-3)
1 - (1/8)
(7/8)

1 - 2^(-5 + 1)
1 - 2^(-4)
1 - (1/16)
(15/16)

----------------------------

1 - 2^(-6 + 1)
1 - 2^(-5)
1 - (1/32)
(31/32)

1 - 2^(-7 + 1)
1 - 2^(-6)
1 - (1/64)
(63/64)

ANS : (31/32) and (63/64)

Answer 5

It appears that the numerator is always the sum of the previous numerator and denominator and the denominator is +1 on that. So 31/32 and 63/64 seem right if I don't miss my guess.

Answer 6

31/32

63/64

Answer 7

31/32
63/64

Answer 8

31/32 63/64

Answer 9

You are getting yourself into a world of trouble by cheating at this. Not because you might get caught, but because you are going to give people at your school and elsewhere the impression that you understand this stuff. This is going to lead to you someday being called upon to perform this stuff when there is no help available. Then you're REALLy going to be embarrassed!

With this type of problem it is best to admit you don't know the answers, (don't see the patterns). These look more like IQ test problems to me. If you are doing these as practice problems that's one thing but you indicated you need the answers fast. I don't think you're practicing. I think your setting yourself up for major problems.

Answer 10

31/32, 63/64