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Awani

09-22-2009, 08:08 PM

I dabbled a bit in this before and I found it interesting that the following pattern always emerge...

If you take any number, lets say 418 and then add up all its combinations like:

418

814

148

184

481

841

Total = 2886 = 2+8+8+6 = 6

Now you do the same with 417 = 9, 416 = 3, 415 = 6, 414 = 9 etc...

The pattern is always 3, 6, 9... magic numbers.

Nothing new, but interesting!

:cool:

Zephyr

09-22-2009, 09:13 PM

Most curious. At what point does this pattern begin? As soon as the 10 basic digits are exhausted?

11+11=22-->4

12+21=33-->6

13+31=44-->8

14+41=55-->10-->1

...

25+52=77-->14-->5

...

56+65=121-->4

...

98+89=187-->16-->7

99+99=198-->18-->9

.

100+010+001=111-->3

101+101+110+110+011+011=444-->12-->3

102+201+120+210+021+012=666-->18-->9

...

Well, it looks like the crunched sums of single digits go up in increments of one, in two digit, they go up in increments of two, and in three, they would go up in increments of 3. Howevever we see that "101" and "102" are a counterexample to this pattern. I wonder why?

*Zephyr*

LeoRetilus

12-13-2009, 05:38 AM

Interesting, sometimes I find myself with a calculator in my hand and find simliar patterns, except I always find myself multipying 9 times other numbers and resolving the sum back to nine.

For example: 9x9x6x7=3402 -> 3+4+0+2=9

9x4x5x3x9x5=24300 ->2+4+3+0+0=9

6x9x21x15x3=51030 ->5+1+0+3+0=9

and on and on , but it does stop at one point then begin again

The magical number 9:)

Ghislain

12-13-2009, 08:31 AM

All multiples of nine resolve back to nine.

It is the principle whereby you predict what

a person is going to say.

Try this on someone:

tell them to pick a number

now multiply the number by nine

if the resulting number has more than one digit

keep adding the digits together until it resolves

to one digit (which you know will be nine)

get them to subtract 5 from their total

(they now have four)

tell them to associate the number with a letter

from the alphabet (a=1,b=2.....) they now have

"d"

tell them to choose a country (in english) starting

with their letter. It is usually Denmark

tell them to choose an animal starting with the

second letter of the country name. (this is

usually an elephant.

ask then to think of what colour they associate with

this animal (this is usually grey)

ask them if they are thinking of a grey elephant

from denmark...watch the surprise on their face

when you get it right :)

When they have got to the country you could ask them to choose

the last letter, "k", and think of an animal. This is usually a

kangaroo or a koala, now ask them to think of a fruit begining with

the last letter of the animal then tell them it is either an apple or an orange.

Ghislain

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