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What is the nth term of the sequence 0 1 1 2 2 3 3 4 4 or Each positive integer repeated?
Wiki User
∙ 11y ago
First, the answer:
a-sub-n = [2n - 1 - (-1)^n+1]/4.
Now, the reasoning:
Each term = n - (1/n) - (1/2 for odd n's, 0 for even n's).
The formula for the alternating 1/2's and 0's is [1 + (-1)^n+1]/4
Simplification leads to the answer first given above.
Wiki User
∙ 11y ago
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