SOLUTION: what is the next number which completes the sequence below? 1 1 3 2 4 6 5 25

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Question 886100: what is the next number which completes the sequence below?
1 1 3 2 4 6 5 25
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
The pattern goes

square, add 2, subtract 1,
square, add 2, subtract 1,
square, add 2, subtract 1,
etc., etc., etc.

Start with      1

Square 1, get   1
add 2, get      3
subtract 1, get 2

Square 2, get   4
add 2, get      6
subtract 1, get 5

Square 5, get   25
add 2, get      27     <--- that's the answer!
subtract 1, get 26

Square 26, get  676
add 2, get      678
subtract 1, get 677

Edwin