Jump to content
BrainDen.com - Brain Teasers
  • 0


Guest
 Share

Question

this was a year ago, but i'm not sure if this is correct, but you can try.

(i can assure you that there is no 2)

Is there a pattern for 4,1,1/2,1/4...

post your answers, correct or not

Link to comment
Share on other sites

21 answers to this question

Recommended Posts

  • 0

Please correct me if I am wrong.

4,1,1/2,1/4....

according to me , the alternate nos. are divided:

eg.4/(1/2)=8

1/(1/4)=4

(1/2)/(1/4)=2

(1/4)/(1/4)=1

The results get divided by 2.B))

I dont think thats the pattern cuz in order for there to be a pattern then you would have to be able to figure out more of the sequence. and from what i know "...." at the end of a sequence means theres more and you can figure it out."? Leaving the other numbers alone to use them when it gives the answer doesnt show any pattern. I agree with Jordanmax above, i dont think there is a pattern in it. If there is then theres prolly a really complicated formula for it that im too thick headed to see.

Edited by Spyderz
Link to comment
Share on other sites

  • 0
I dont think thats the pattern cuz in order for there to be a pattern then you would have to be able to figure out more of the sequence. and from what i know "...." at the end of a sequence means theres more and you can figure it out."?

I agree with you.But I have also filled in 2 more numbers(1/4,1/4)to continue the sequence.And it keeps the pattern running

Link to comment
Share on other sites

  • 0
this was a year ago, but i'm not sure if this is correct, but you can try.

(i can assure you that there is no 2)

Is there a pattern for 4,1,1/2,1/4...

post your answers, correct or not

4,1,1/2,1/4... 1,1/2,4,1/2,8

Divide the 2nd # by the 1st to get the 4th. Divide the 3rd by the 2nd to get the 5th. Divide the 4th by the 3rd to get the 6th... Continue this for the 7th and 8th

Link to comment
Share on other sites

  • 0
I agree there is no pattern.

Tanstaafl, it's never good if you are only using 1 example based on the given 4 numbers to conclude a series pattern. Also, 1/2 divided by 1 doesn't equal 1.

itchi-san, while I agree that I made a mistake in my division and spoiled the pattern, I do not agree with you that there is no pattern. Just because you cannot discern the pattern, doesn't mean that it isn't there. While on the subject, can you prove your negative? Of course not.

Link to comment
Share on other sites

  • 0

There is a pattern...I think.

The sequence starts with N(0)=4, then to determine every number after N(0) you use this formula N(X)=N(0)/2^(X+1).

this gives the results of N(0)=4, N(1)=1,N(2)=1/2,N(3)=1/4, N(4)=1/8....

Since the series can be shown using a formula there is in fact a pattern. Any thoughts?

Link to comment
Share on other sites

  • 0
There is a pattern...I think.

The sequence starts with N(0)=4, then to determine every number after N(0) you use this formula N(X)=N(0)/2^(X+1).

this gives the results of N(0)=4, N(1)=1,N(2)=1/2,N(3)=1/4, N(4)=1/8....

Since the series can be shown using a formula there is in fact a pattern. Any thoughts?

im not getting your formula. is it just me or is it incorrect? :huh:

Link to comment
Share on other sites

  • 0
There is a pattern...I think.

The sequence starts with N(0)=4, then to determine every number after N(0) you use this formula N(X)=N(0)/2^(X+1).

this gives the results of N(0)=4, N(1)=1,N(2)=1/2,N(3)=1/4, N(4)=1/8....

Since the series can be shown using a formula there is in fact a pattern. Any thoughts?

Looks great ...

Link to comment
Share on other sites

  • 0
im not getting your formula. is it just me or is it incorrect? :huh:

The formula does work:

N(0) = 4

N(1) = 4/(2^((1)+1))) = 4/(2^2) = 4/4 = 1

N(2) = 4/(2^((2)+1))) = 4/(2^3) = 4/8 = 1/2

N(3) = 4/(2^((3)+1))) = 4/(2^4) = 4/16 = 1/4

N(4) = 4/(2^((4)+1))) = 4/(2^5) = 4/32 = 1/8

Sorry for all the parentheses. I love parentheses for some reason.

Nice work redsnuff.

Link to comment
Share on other sites

  • 0

Modifications.

the pattern is 2,1/2,1/4,1/8...

it has nothing to do with exponents.

Remember, 0 is still a number

don't think that the answer is 2^1,2^(1/2)...

I am sure that that is not the answer

Link to comment
Share on other sites

  • 0
Modifications.

the pattern is 2,1/2,1/4,1/8...

it has nothing to do with exponents.

Remember, 0 is still a number

don't think that the answer is 2^1,2^(1/2)...

I am sure that that is not the answer

2 is the starting number.

From the next number , i.e. , 1/2 we can proceed in this manner:Dividing the first number by second number to get the result as "2".

(1/2)/(1/4)=2

(1/4)/(1/8)=2

(1/8)/(1/16)=2

.

.

.

.

.

This sounds simple But there is a definite pattern to it.And it was a pattern you asked . :)

Link to comment
Share on other sites

  • 0

2 is the starting number.

From the next number , i.e. , 1/2 we can proceed in this manner:Dividing the first number by second number to get the result as "2".

(1/2)/(1/4)=2

(1/4)/(1/8)=2

(1/8)/(1/16)=2

.

.

.

.

.

This sounds simple But there is a definite pattern to it.And it was a pattern you asked . :)

Actually You are notr exacly giving a pattern...in your case, you are considering 2 as a out of the series number...I cant find any pattern in it..

Link to comment
Share on other sites

  • 0
Actually You are notr exacly giving a pattern...in your case, you are considering 2 as a out of the series number...I cant find any pattern in it..

I too could not find any other pattern . So I decided upon leaving out 2. You are right , leaving out a number does not denote a pattern . But it was the closest thing I could find , so I just posted my answer.

Link to comment
Share on other sites

  • 0

I think ent474 needs to clarify the puzzle. The original post clearly states 2 is not part of the sequence. Then when an answer was posted to the original sequence he insisted it was incorrect and he seems to have posted a modification changing the original sequence to include 2 and not 4. At this point I'm not even sure what we're trying to solve anymore.

Link to comment
Share on other sites

  • 0

2

1/2

1/4

1/8

sure this is still wrong. OP said " i can assure you there is no 2"

Is this to do with egyptian fractions loaves and fishes is ringing a bell, but so did Quasimodo

Link to comment
Share on other sites

  • 0

Somehow the spoiler didn't show up. Here is the solution..

The original pattern was

4,1,1/2,1/4..

The new pattern is

2,1/2,1/4,1/8..

See the similarity, just divide by 2

Based on jesusfreak's solution, the answer would be

F(X) = (2*F(0))/ (2^(X+2))

so

F(0)=2

F(1)=1/2

F(2)=1/4

F(3)=1/8

and

F(4)=1/16

F(5)=1/32 ....

Link to comment
Share on other sites

Join the conversation

You can post now and register later. If you have an account, sign in now to post with your account.

Guest
Answer this question...

×   Pasted as rich text.   Paste as plain text instead

  Only 75 emoji are allowed.

×   Your link has been automatically embedded.   Display as a link instead

×   Your previous content has been restored.   Clear editor

×   You cannot paste images directly. Upload or insert images from URL.

Loading...
 Share

  • Recently Browsing   0 members

    • No registered users viewing this page.
×
×
  • Create New...