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... are integers such that sn 6= 0, then sn |Dn . Solution by H.-J. Seiffert, Berlin, Germany Adding the second, third, fourth, . . . and last row to the first row in Dn , we arrive to the determinant En , whose entries of the first row are all equal to sn , and having the same value as Dn . Extracting ...
... are integers such that sn 6= 0, then sn |Dn . Solution by H.-J. Seiffert, Berlin, Germany Adding the second, third, fourth, . . . and last row to the first row in Dn , we arrive to the determinant En , whose entries of the first row are all equal to sn , and having the same value as Dn . Extracting ...
1. Prove: If the average of n numbers x , x
... 1. Prove: If the average of n numbers x1 , x2 , . . . , xn is A, then at least one of the numbers is greater than or equal to A. ...
... 1. Prove: If the average of n numbers x1 , x2 , . . . , xn is A, then at least one of the numbers is greater than or equal to A. ...
Känguru der Mathematik 2009 - Junior
... down one after the other. It turns out that the biggest factor is 45 times as big as the smallest number. For how many numbers N is that true? A) 0 B) 1 C) 2 D) more than 2 E) it cannot be determined 25) Kangoo has 2009 unit dice that he is putting together to a big cuboid. He has also got 2009 squa ...
... down one after the other. It turns out that the biggest factor is 45 times as big as the smallest number. For how many numbers N is that true? A) 0 B) 1 C) 2 D) more than 2 E) it cannot be determined 25) Kangoo has 2009 unit dice that he is putting together to a big cuboid. He has also got 2009 squa ...