SOLUTION: 1,1,1,3,5,9,17,31 find the 2019th member of this sequence

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Question 1152190: 1,1,1,3,5,9,17,31 find the 2019th member of this sequence
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

pattern:
The next number is the sum of the previous 3 numbers
So:
If we start with 1,1,1 next one is 1%2B1%2B1+=+3
We have 1,1,1,3 next one is 1%2B1%2B3+=+5
We have: 1,1,1,3 ,5+next one is 1%2B3%2B5+=+9
We have: 1,1,1,3 ,5+,9 next one is 3%2B5%2B9+=+17
We have: 1,1,1,3 ,5+,9,17 next one is 5%2B9%2B17+=+31
We have: 1,1,1,3 ,5+,9,17,31 next one is 9%2B17%2B31+=+57
We have: 1,1,1,3 ,5+,9,17,31 ,57 next one is 17%2B31%2B57+=+105
We have: 1,1,1,3 ,5+,9,17,31 ,57 ,105 next one is 31%2B57%2B105+=+193
and so on...I hope you will be able to do it up to the 2019th member of this sequence