Chứng minh: A < 1/16 với A = 1/5^2 + 2/5^3 + 3/5^4 +...+ 99/5^100.
1 trả lời
58 Tham khảo câu trả lời từ Trợ lý ảo Lazi Ta có A = 1/5^2 + 2/5^3 + 3/5^4 +...+ 99/5^100 = 1/25 + 2/125 + 3/625 +...+ 99/5^100 = 1/25 + 2/125 + 3/625 +...+ 99/5^100 < 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125 + 3/625 +...+ 99/625 = 1/25 + 2/125
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