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elzamarg
@elzamarg
August 2021
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Сократите дробь:
1) n!/(n-1)!
2) (2k+1)!/(2k-1)!
/ - деление
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Answers & Comments
mouseh
1. n! / (n-1)! = (1 * 2 * .... * (n-1) * n) / (
1 * 2 * .... * (n-1)) = n
2. по аналогии с первым
Если k - натуральное число, то
(2K+1)! / (2k-1)! = (3 * 5 * ... * (2k-1) * (2k +1)) / (1 * 3 * 5 * ... * (2k - 1) = 3(2k+1) = 6k +3
2 votes
Thanks 1
elzamarg
Большое спасибо.
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Answers & Comments
2. по аналогии с первым
Если k - натуральное число, то
(2K+1)! / (2k-1)! = (3 * 5 * ... * (2k-1) * (2k +1)) / (1 * 3 * 5 * ... * (2k - 1) = 3(2k+1) = 6k +3