Hãy luôn nhớ cảm ơn và vote 5*
nếu câu trả lời hữu ích nhé!
`6)`
`a. 4/{2xx4}+4/{4xx6}+4/{6xx8}+4/{8xx10}+...+4/{16xx18}+4/{18x20}`
`=2xx(2/{2xx4}+2/{4xx6}+2/{6xx8}+2/{8xx10}+...+2/{16xx18}+2/{18xx20})`
`=2xx(1/2-1/4+1/4-1/6+1/6-1/8+1/8-1/10+...+1/16-1/18+1/18-1/20)`
`=2xx(1/2-1/20)`
`=2xx9/20`
`=9/10`
`b. 1/6+1/12+1/20+...+1/90`
`=1/{2.3}+1/{3.4}+1/{4.5}+...+1/{9.10}`
`=1/2-1/3+1/3-1/4+1/4-1/5+...+1/9-1/10`
`=1/2-1/10`
`=2/5`
`··············`
`7)`
`a. {1995xx1994-1}/{1993xx1995+1994}`
`={1995xx1994-1995+1994}/{1993xx1995+1994}`
`={1995xx(1994-1)+1994}/{1993xx1995+1994}`
`={1995xx1993+1994}/{1993xx1995+1994}`
`=1`
`b. 2/3+2/15+2/35+2/63`
`=2/{1.3}+2/{3.5}+2/{5.7}+2/{7.9}`
`=1-1/3+1/3-1/5+1/5-1/7+1/7-1/9`
`=1-1/9`
`=8/9`
`#Sal_tSea`
Hãy giúp mọi người biết câu trả lời này thế nào?
Bài `6` :
`a) 4/[2xx4] + 4/[4xx6] + 4/[6xx8] + 4/[8xx10] + ... + 4/[16xx18] + 4/[18xx20]`
`= 2 xx ( 2/[2xx4] + 2/[4xx6] + 2/[6xx8] + 2/[8xx10] + ... + 2/[16xx18] + 2/[18xx20] )`
`= 2 xx (1/2 - 1/4 + 1/4 - 1/6 + 1/6 - 1/8 + 1/8 - 1/10 + ... + 1/16 - 1/18 + 1/18 - 1/20 )`
`= 2 xx (1/2 - 1/20)`
`= 2 xx 9/20`
`= 9/10`
`b) 1/6 + 1/12 + 1/20 + ... + 1/90`
`= 1/[2xx3] + 1/[3xx4] + 1/[4xx5] + ... + 1/[9xx10]`
`= 1/2 - 1/3 + 1/3 - 1/4 + 1/4 - 1/5 + ... + 1/9 - 1/10`
`= 1/2 - 1/10`
`= 5/10 - 1/10`
`= 4/10`
`= 2/5`
Bài `7` :
`a) [1995xx1994-1]/[1993xx1995+1994]`
`= [1995xx(1993+1)-1]/[1993xx1995+1994]`
`= [1995xx1993+1995-1]/[1993xx1995+1994]`
`= [1995xx1993+1994]/[1993xx1995+1994]`
`= 1` ( Vì tử số bẳng mẫu số )
`b) 2/3 + 2/15 + 2/35 + 2/63`
`= 2/[1xx3] + 2/[3xx5] + 2/[5xx7] + 2/[7xx9]`
`= 1 - 1/3 + 1/3 - 1/5 + 1/5 - 1/7 + 1/7 - 1/9`
`= 1 - 1/9`
`= 9/9 - 1/9`
`= 8/9`
Hãy giúp mọi người biết câu trả lời này thế nào?
Bảng tin
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a . 4 2 × 4 + 4 4 × 6 + 4 6 × 8 + 4 8 × 10 + ... + 4 16 × 18 + 4 18 x 20 = 2 × ( 2 2 × 4 + 2 4 × 6 + 2 6 × 8 + 2 8 × 10 + ... + 2 16 × 18 + 2 18 × 20 ) = 2 × ( 1 2 − 1 4 + 1 4 − 1 6 + 1 6 − 1 8 + 1 8 − 1 10 + ... + 1 16 − 1 18 + 1 18 − 1 20 ) = 2 × ( 1 2 − 1 20 ) = 2 × 9 20 = 9 10 b . 1 6 + 1 12 + 1 20 + ... + 1 90 = 1 2.3 + 1 3.4 + 1 4.5 + ... + 1 9.10 = 1 2 − 1 3 + 1 3 − 1 4 + 1 4 − 1 5 + ... + 1 9 − 1 10 = 1 2 − 1 10 = 2 5 ⋅ ⋅ ⋅ ⋅ ⋅ ⋅ ⋅ ⋅ ⋅ ⋅ ⋅ ⋅ ⋅ ⋅ 7 ) a . 1995 × 1994 − 1 1993 × 1995 + 1994 = 1995 × 1994 − 1995 + 1994 1993 × 1995 + 1994 = 1995 × ( 1994 − 1 ) + 1994 1993 × 1995 + 1994 = 1995 × 1993 + 1994 1993 × 1995 + 1994 = 1 b . 2 3 + 2 15 + 2 35 + 2 63 = 2 1.3 + 2 3.5 + 2 5.7 + 2 7.9 = 1 − 1 3 + 1 3 − 1 5 + 1 5 − 1 7 + 1 7 − 1 9 = 1 − 1 9 = 8 9 Rút gọna . 4 2 × 4 + 4 4 × 6 + 4 6 × 8 + 4 8 × 10 + ... + 4 16 × 18 + 4 18 x 20 = 2 × ( 2 2 × 4 + 2 4 × 6 + 2 6 × 8 + 2 8 × 10 + ... + 2 16 × 18 + 2 18 × 20 ) = 2 × ( 1 2 − 1 4 + 1 4 − 1 6 + 1 6 − 1 8 + 1 8 − 1 10 + ... + 1 16 − 1 18 + 1 18 − 1 20 ) = 2 × (... xem thêm