问个化简的问题(k+2)*(9\10)^k >(k+1)*(9\10)^(k-1)(k+2)*(9\10)^k>(k+3)*(9\10)^(k+1)最后化简完答案是7〈k
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![问个化简的问题(k+2)*(9\10)^k >(k+1)*(9\10)^(k-1)(k+2)*(9\10)^k>(k+3)*(9\10)^(k+1)最后化简完答案是7〈k](/uploads/image/z/2757982-22-2.jpg?t=%E9%97%AE%E4%B8%AA%E5%8C%96%E7%AE%80%E7%9A%84%E9%97%AE%E9%A2%98%EF%BC%88k%2B2%29%2A%289%5C10%29%5Ek+%3E%28k%2B1%29%2A%289%5C10%29%5E%28k-1%29%28k%2B2%29%2A%289%5C10%29%5Ek%3E%28k%2B3%29%2A%289%5C10%29%5E%28k%2B1%29%E6%9C%80%E5%90%8E%E5%8C%96%E7%AE%80%E5%AE%8C%E7%AD%94%E6%A1%88%E6%98%AF7%E3%80%88k)
问个化简的问题(k+2)*(9\10)^k >(k+1)*(9\10)^(k-1)(k+2)*(9\10)^k>(k+3)*(9\10)^(k+1)最后化简完答案是7〈k
问个化简的问题
(k+2)*(9\10)^k >(k+1)*(9\10)^(k-1)
(k+2)*(9\10)^k>(k+3)*(9\10)^(k+1)
最后化简完答案是7〈k
问个化简的问题(k+2)*(9\10)^k >(k+1)*(9\10)^(k-1)(k+2)*(9\10)^k>(k+3)*(9\10)^(k+1)最后化简完答案是7〈k
(k+2)*(9\10)^k >(k+1)*(9\10)^(k-1)
(k+2)*(9\10)^(k-1)* )*(9\10)>(k+1)*(9\10)^(k-1)
(k+2)*(9\10)>(k+1)
9(k+2)>10(k+1)
9k+18>10k+10
k(k+3)*(9\10)^(k+1)
(k+2)*(9\10)^k>(k+3)*(9\10)^k*(9/10)
(k+2)>(k+3)(9/10)
10(k+2)9(k+3)
10k+20>9k+27
k>7
第一个式子可化为:(k+2) * 9/10 > k+1 (消去(9\10)^(k-1)) → k<8
第一个式子可化为:k+2 > (k+3) * 9/10 (消去(9\10)^k) → k>7
合起来就是:7