the unit digit of (1+9+9^2+9^3-----+9^2007
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The unit digit of nth power of 9 is 9 if n is any odd whole number while it is 1 if n is any even whole number. 1 + 9 + 9^2 + 9^3 + .... + 9^2772 + 9^2773. So, it's doubtlessly zero.
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