Question 1035421: Hi,
I'm doing my homework and can't find the answer to the following question. Could you help? Thanks!
"Find a pattern in the sequence below. Then write the next three numbers in the sequence. 1,1,1,3,5,9..."
Answer by Edwin McCravy(20054)   (Show Source):
You can put this solution on YOUR website!
1,1,1,3,5,9...
This reminds us of the Fibonacci sequence.
1,1,2,3,5,8,13,...
Rule for the Fibonacci sequence: Start with two 1's.
Get the 3rd term and every other term by adding the
two preceding terms.
So go one step further:
Rule for the this sequence: Start with three 1's.
Get the 4th term and every other term by adding the
three preceding terms.
1,1,1,3,5,9...
1+1+1=3
1+1+3=5
1+3+5=9
3+5+9=?
5+9+?=?
9+?+?=?
?+?+?=?
etc.
Put numbers where those question marks are.
You extend that pattern as far as you like.
Edwin
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