sorry for the delay cantorset2... n btw i m girl... the sentence is " If any ten consecutive terms of a Fibonacci sequence are added, the sum is a constant multiple of the 7th term."
OpenStudy (anonymous):
ok thats better
OpenStudy (anonymous):
interesting claim
OpenStudy (anonymous):
so if you add the first ten consecutive terms (or any ten consecutive terms) it will equal k*f7 , where f7 is the 7th term of the fibo. sequence
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OpenStudy (anonymous):
so k is the constant?
OpenStudy (anonymous):
well a constant multiple of 3 is like 3,6,9...
OpenStudy (anonymous):
, whats the 7th term of fibo series
OpenStudy (anonymous):
50
OpenStudy (anonymous):
Another property of Fibonacci numbers is that the sum of any ten numbers in the sequence is equal to eleven times the seventh number in the series, a fact which would not have escaped the notice of Mesoamericans, who recognized the numbers 7 and 11 as special.
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OpenStudy (anonymous):
its not 50
OpenStudy (anonymous):
oh youre adding the first 10 consecutive terms ?
OpenStudy (anonymous):
can you list the first ten fibonacci numbers
OpenStudy (anonymous):
thanks man! really appreciate ur help!:)
OpenStudy (anonymous):
n thank u saifoo.khan n Mrbonez321:)
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OpenStudy (anonymous):
the first ten fibo. numbers are
0 + 1 + 1+ 2 + 3+ 5 + 8 + 13+ 21+34 = 88
OpenStudy (anonymous):
the sum of the first ten fibonacci numbers. notice that 88 is a constant multiple of the seventh term
OpenStudy (anonymous):
now lets look at the next ten numbers
1 + 1+ 2 + 3+ 5 + 8 + 13+ 21+34+ 55 = 143, and 143 is a constant multiple of the seventh term (13) , it is in fact 11 * 13
OpenStudy (anonymous):
and even more interesting , it is always 11 times the seventh term
OpenStudy (anonymous):
dude, do u learn this stuff or know them... i wish i could give u more than 1 medaal
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OpenStudy (anonymous):
medal*
OpenStudy (anonymous):
lets try the next ten, 1+ 2 + 3+ 5 + 8 + 13+ 21+34 + 55 + 89 = 231 and 231 = 11 * 21 , where 21 is the seventh term
OpenStudy (anonymous):
i just read about it a minute ago
OpenStudy (anonymous):
you mentioned it :)
OpenStudy (anonymous):
interesting property
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OpenStudy (anonymous):
i dunno why its is not showing me under viewing...
OpenStudy (anonymous):
so again, constant multiple is a just a fancy term which means, 6 is a constant multiple of 3 , it is 2 times 3 .
24 is a constant multiple of 3 because 24 = 3 * 8
OpenStudy (anonymous):
constant = any constant (number)
multiple is like 3, 6, 9 , etc
OpenStudy (anonymous):
20 is not a constant multiple of 3,
OpenStudy (anonymous):
oh , i think they said 'constant' to emphasize it doesnt change
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OpenStudy (anonymous):
because it is always 11 times the seventh term
OpenStudy (anonymous):
as opposed to any multiple
OpenStudy (anonymous):
whats wrong, what cant you view?
OpenStudy (anonymous):
i was just able to view ur posts...
OpenStudy (anonymous):
oh ok
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OpenStudy (anonymous):
i dont know what explains this property
OpenStudy (anonymous):
wikipedia doesnt mention it , i checked
OpenStudy (anonymous):
its ok... thx a zillion dude! i finally understood wat a constant is!:D
OpenStudy (anonymous):
, well, its a multiple. and its constant
OpenStudy (anonymous):
so it doesnt change
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OpenStudy (anonymous):
you have to kiss my bald head
OpenStudy (anonymous):
just a small peck ;)
OpenStudy (anonymous):
no way
OpenStudy (anonymous):
, hehe
OpenStudy (anonymous):
you are ungrateful
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OpenStudy (anonymous):
ok , come back when you have more math question
OpenStudy (anonymous):
cantorset is hurt ..
OpenStudy (anonymous):
:P sur
OpenStudy (anonymous):
its ok , dont sweat it
OpenStudy (anonymous):
ill bounce back
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OpenStudy (anonymous):
sure! i dunno why but it takes a super long time to load n my page keeps getting hanged
OpenStudy (anonymous):
yeah, i hate this program
OpenStudy (anonymous):
somebody needs to write a better code .
use google chrome, and tab+enter