SOLUTION: what is the next number in the series in the following sequence 3,5,5,19,7,41,9,....

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Question 237566: what is the next number in the series in the following sequence
3,5,5,19,7,41,9,....

Answer by vleith(2517) About Me  (Show Source):
You can put this solution on YOUR website!
This series is really 2 different series mixed together
3,5,5,19,7,41,9,....
Start at the first number and then take every other one
3,5,7,9 ... it's easy to see the next one there is 11
Start at the second number and take every other one
5, 19, 41
I don't see a strict easy pattern jumping out at me here.
So let's think about using something from the first series.
3^2 = 9 9-5 = 4
5^2 = 25 25-19 = 6
7^2 = 49 49-41 = 8
hmmm maybe we are into something
9^2 = 81 81-x = 10
x = 71
I am going with 71