
find the next number in the sequence & explain,?
3,3,5,4,4,3,5,5,4,3,.....

answer is 6
it is the number of letters of the natural numbers
one  3
two  3
three  5
...
...
ten  3
eleven 6

This is a stupid IQ test question. The answer: could be any number. The "genius" who asked you that would be expecting "3" for answer. But if you look up at
http://www.research.att.com/~njas/sequences/?q=3%2C3%2C5%2C4%2C4%2C3%2C5%2C5%2C4%2C3&language= english&go=Search
you'll find two sequences that sort of look like yours (they are NOT the same ones) where the next number is 6. But those sequences start with 4.
Keep in mind it could be anything, take for example a Lagrance polynomial where your polynomial takes for
for x equal to:1,2,3,4,5,6,7,8,9,10...
y has the respective values:3,3,5,4,4,3,5,5,4,3...
you could have any number of polynomials that have those values in the first 10 points and could have any other value in the 11th...
http://en.wikipedia.org/wiki/Lagrange_polynomial



3, its the pattern first two 3s then two 4s then two 5s and it repeats again with all the other numbers in between.

it could be three or six.
3: the numbers are in alternating pairs
6: The number of letters in each number
one=3
two=3
three=5
four=4
five=4
six=3
.....
eleven=6
p.s. the number sequence that q answers is talking about is the same sequence as the #6 possibility, it just starts with zero

3
Just follow the pattern: numbers repeat twice alternately..
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