Chứng Tỏ rằng
1/41 +1/42+1/43+1/44+...+1/80<5/6
Chứng tỏ rằng : 7/12 <1/41 +1/42 + 1/43 + 1/44 + ..... +1/79 +1/80 <1
Chứng tỏ rằng: 1/41 + 1/42 + 1/43 + 1/44 +...+ 1/60 > 1/3
Số số hạng của tổng:
60 - 41 + 1 = 20
Ta có:
1/41 + 1/42 + 1/43 + ... + 1/60 > 1/60 + 1/60 + 1/60 + ... + 1/60 (20 số 1/60)
= 20/60
= 1/3
Vậy 1/41 + 1/42 + 1/43 + ... + 1/60 > 1/3
Chứng tỏ rằng: 1/41 + 1/42 + 1/43 + 1/44 +...+ 1 60 > 1 3
hãy chứng tỏ rằng : 1/41 + 1/42 + 1/43 + ... + 1/80 > 3/5
Chứng tỏ rằng:
1/41+1/42+1/43+1/44....+1/59+1/60>17/45
chứng tỏ rằng :1/41+1/42+1/43+........+2/80>17/12
Chứng tỏ rằng: 1/41+1/42+1/43+...+1/79+1/80>7/12
chứng tỏ rằng :1 /41 +1/42 +1/43 +...+1/79+1/80 >7/12
Ta có:
7/12 = 4/12 + 3/12 = 1/3 + 1/4 = 20/60 + 20/80
1/41 + 1/42 + 1/43 +...+ 1/79 + 1/80 = (1/41 + 1/42 + 1/43 + ...+ 1/60) + (1/61 + 1/62 +...+ 1/79 + 1/80)
Do 1/41> 1/42 > 1/43 > ...>1/59 > 1/60
=> (1/41 + 1/42 + 1/43 + ...+ 1/60) > 1/60 + ...+ 1/60 = 20/60
và 1/61> 1/62> ... >1/79> 1/80
=> (1/61 + 1/62 +...+ 1/79 + 1/80) > 1/80 + ...+ 1/80 = 20/80
Vậy: 1/41 + 1/42 + 1/43 +...+ 1/79 + 1/80 > 20/60 + 20/80 = 7/12
=> 1/41 + 1/42 + 1/43 +...+ 1/79 + 1/80 > 7/12
=> ĐPCM
tk nha mk trả lời đầu tiên đó!!!
chứng tỏ rằng : 1/41 + 1/42+ 1/43+...............+ 1/79+ 1/80 >7/12
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