Grade 12Algebra
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?
1 Answer
ruchi yadav
[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]
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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