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0,1,1,2,2,3,3,4....what is the general formula for this series?

0,1,1,2,2,3,3,4....what is the general formula for this series?

Grade:12

1 Answers

ruchi yadav
askIITians Faculty 27 Points
7 years ago
[2n - 1 - (-1)^(n+1)] / 4

n minus a-sub-n is always [n/2 + (either 1/2 for odd n's, or 0 for even n's)].

The formula for alternating 1/2's and 0's is (1 - (-1)^(n+1)) / 4.

So the the formula is n - (n/2) - [(1 - (-1)^(n+1)) / 4]


Thank You
Ruchi
Askiitians faculty

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