SOLUTION: Find explicit formulas for sequences with the initial terms given:1) 0, 1, -2, 3, -4, 5,

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Question 1179963: Find explicit formulas for sequences with the initial terms given:1) 0, 1, -2, 3, -4, 5,
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


Ignoring the alternating signs for the moment...

term #1 is 0
term #2 is 1
term #3 is 2
term #4 is 3
...
term #n is (n-1)

To get the alternating signs, add a factor of (-1)^n or (-1)^(n-1) to the formula. Since the even-numbered terms are positive, we need a factor of (-1)^n.

ANSWER: t%28n%29+=+%28%28-1%29%5En%29%28n-1%29