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標題:
F . 3 數學 ( 15 分 )
發問:
最佳解答:
(1) {5(3^n) - 6[3^(n - 2)]} / [3^n - 3^(n - 1)] = {5(3^n) - 6[(3^n)/9]} / [3^n - (3^n)/3] = [(3^n)(5 - 6/9)] / [(3^n)(1 - 1/3)] = (39/9) / (2/3) = (13/3)(3/2) = 6.5 (2) 3^(2k + 1) = 3^(2k) + 2/27 (3)3^(2k) - 3^(2k) = 2/27 (2)3^(2k) = 2/27 3^(2k) = 1/27 = 3^(-3) 2k = - 3 k = -1.5
其他解答:
F . 3 數學 ( 15 分 )
發問:
此文章來自奇摩知識+如有不便請留言告知
Simplify the following expressions . 1 . [ X = 乘 , / = Over ( 除 ) ] 5 X 3 ^ n - 6 X 3 ^ n-2 / 3 ^ n - 3 ^ n-1 2 . [ Solve the following equations ] 3 ^ 2k+1 = 3 ^ 2k + ( 2 / 27 )最佳解答:
(1) {5(3^n) - 6[3^(n - 2)]} / [3^n - 3^(n - 1)] = {5(3^n) - 6[(3^n)/9]} / [3^n - (3^n)/3] = [(3^n)(5 - 6/9)] / [(3^n)(1 - 1/3)] = (39/9) / (2/3) = (13/3)(3/2) = 6.5 (2) 3^(2k + 1) = 3^(2k) + 2/27 (3)3^(2k) - 3^(2k) = 2/27 (2)3^(2k) = 2/27 3^(2k) = 1/27 = 3^(-3) 2k = - 3 k = -1.5
其他解答:
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