SOLUTION: fill in the next numbers in the following sequence and explain how you worked it 1,1,1,3,5,9,17 ,_,_,_

Algebra ->  Sequences-and-series -> SOLUTION: fill in the next numbers in the following sequence and explain how you worked it 1,1,1,3,5,9,17 ,_,_,_       Log On


   

Question 782126: fill in the next numbers in the following sequence and explain how you worked it 1,1,1,3,5,9,17 ,_,_,_
Answer by oscargut(2103) About Me  (Show Source):
You can put this solution on YOUR website!
The next number is the sum of the previous 3 numbers
So:
If we start with 1,1,1 next one is 1+1+1 = 3
We have 1,1,1,3 next one is 1+1+3 = 5
We have: 1,1,1,3,5 next one is 1+3+5 = 9
We have: 1,1,1,3,5,9 next one is 3+5+9 = 17


We have: 1,1,1,3,5,9,17 next one is 5+9+17 = 31
We have: 1,1,1,3,5,9,17,31 next one is 9+17+31 = 57
We have: 1,1,1,3,5,9,17,31,57 next one is 17+31+57 = 105
Answer: the last 3 numbers are : 31,57 and 105
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