Arrange a group of numbers regularly: 1, - 2, 3, - 4, 5, - 6, 7, - 8, etc (1) What formula do you think can be used to express each of its terms? (2) What is its 100th number (3) Is 2010 the number of this group? If so, what is the number?
(1) (n + 1) power n of (- 1), where n is a positive integer
(2)-100
(3) When n = 2010, the (n + 1) power of (- 1) is n = - 2010, so 2010 is not the number of this group of numbers
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