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Old 05-1-2007, 06:28 PM   #1
archbishopjabber
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Default Patterns (For the math geeks)

The rules are simple. Post several numbers of a pattern you developed. The next member in line writes a formula that will result in the pattern, using x as the place in line of the number. For example, if the pattern was 2,4,6,8... the formula would be 2x. Always start the pattern off where x=1. Do not make them to overly complicated... at least in the beginning anyway. In order to post a pattern you must solve the last persons pattern correctly. Make sure your formula fits for all numbers they posted.

The first sequence:

1, 3, 6, 10, 15, 21, 28, 36, 45, 55...
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Old 05-1-2007, 06:31 PM   #2
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Default Re: Patterns (For the math geeks)

Triangular numbers, as in 1+2+3+...+n for the nth term.

Next sequence is
1, 2, 4, 8, 16, 32, 64, 128 (yea, really easy)
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Old 05-1-2007, 06:39 PM   #3
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Default Re: Patterns (For the math geeks)

y=2n


1, 3, 5, 7, 11, 13, 17, 19, 23...

I think all those are right.
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Old 05-1-2007, 06:43 PM   #4
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Default Re: Patterns (For the math geeks)

Are those supposed to be primes? If so, 2 should be on the list, and not 1.

Edit: and mine was NOT 2n, it was 2^n.
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Old 05-1-2007, 06:45 PM   #5
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Default Re: Patterns (For the math geeks)

+2

.3333, .1111, .0370, .0123, .0041
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Old 05-1-2007, 06:50 PM   #6
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Default Re: Patterns (For the math geeks)

^^^^^^^^^^
a(n) = (1)/(3^n)

new: 1, 4, 27, 256, 3125, 46656, 823543
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Old 05-1-2007, 06:52 PM   #7
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Default Re: Patterns (For the math geeks)

x^x

Next one is:
1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144...
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Old 05-1-2007, 06:53 PM   #8
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Default Re: Patterns (For the math geeks)

Add all previous numbers.

5000, 3125, 685.871, 76.293, 5.12
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Old 05-1-2007, 06:53 PM   #9
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Default Re: Patterns (For the math geeks)

It's not add ALL previous numbers, it's just adding the most recent 2.
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Old 05-1-2007, 07:10 PM   #10
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Default Re: Patterns (For the math geeks)

Quote:
Originally Posted by Fantasticone View Post
Add all previous numbers.

5000, 3125, 685.871, 76.293, 5.12
Cough cough.
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Old 05-1-2007, 07:23 PM   #11
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Default Re: Patterns (For the math geeks)

Quote:
Originally Posted by Doug31 View Post
Triangular numbers, as in 1+2+3+...+n for the nth term.

Next sequence is
1, 2, 4, 8, 16, 32, 64, 128 (yea, really easy)
1 x 2 = 2

2 x 2 = 4

4 x 2 = 8

8 x 2 = 16

16 x 2 = 32

32 x 2 = 64

64 x 2 = 128

Let n represent the previous number in the sequence.

f(n)=2n

Doug or someone else please tell me how that is wrong.
Dont mean to bitch i just wanna know XD

Last edited by brothaice; 05-1-2007 at 07:26 PM..
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Old 05-1-2007, 07:27 PM   #12
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Default Re: Patterns (For the math geeks)

You are partly correct.

The equation for the NEXT term in this series is 2n, but the series as a whole is defined by 2^n.

Also, I have no clue on Fantasticone's one. My guess is that there is none XD
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Old 05-1-2007, 07:28 PM   #13
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Default Re: Patterns (For the math geeks)

500{1/(.n/n)}^n
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Old 05-1-2007, 07:30 PM   #14
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Default Re: Patterns (For the math geeks)

Quote:
Originally Posted by EI_Tizzy View Post
You are partly correct.

The equation for the NEXT term in this series is 2n, but the series as a whole is defined by 2^n.

Also, I have no clue on Fantasticone's one. My guess is that there is none XD
Oh, i thought thats what we were finding, lol
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Old 05-1-2007, 07:37 PM   #15
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Default Re: Patterns (For the math geeks)

Quote:
Originally Posted by Fantasticone View Post
500{1/(.n/n)}^n
That was too hard.
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Old 05-1-2007, 07:38 PM   #16
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Default Re: Patterns (For the math geeks)

Thought you were math geeks.
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Old 05-1-2007, 07:44 PM   #17
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Default Re: Patterns (For the math geeks)

It's so hard, I still don't get it. Wouldn't .n/n always equal 1/10? And then 1/(1/10) would always be 10, so it would just be 500*10^n? That doesn't work, but this isn't making sense to me lol.
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Old 05-1-2007, 07:48 PM   #18
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Default Re: Patterns (For the math geeks)

Oh **** I added extra brackets or whatever.

500(1/.n/n)^n

There we go.
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Old 05-1-2007, 08:05 PM   #19
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Default Re: Patterns (For the math geeks)

New pattern plz. I would write one, but its more fun figuring out you guys'.
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Old 05-1-2007, 08:13 PM   #20
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Default Re: Patterns (For the math geeks)

.0349, .0697, .1046, .1395


Im so evil.
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