giải cho mình với nha
1-1\3125
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bài 6: TÍNH NHANH NÂNG CAO LỚP 5
A= 1/5+1/25+1/125+1/625+1/3125
giải hộ mình nhanh nhanh nha các bạn
5A=(1/5+1/25+1/125+1/625+1/3125)*5
5A=(1+1/5+1/25+1/125+1/625)
5A-A=(1+1/5+1/25+1/125+1/625)-(1/5+1/25+1/125+1/625+1/3125)=1-1/3125
4A=1-1/3125=3124/3125
A=3124/3125:4=781/3125.
A = 3/1×5 + 3/5×9 + 1/9×13 + ... + 9/97×101 + 3/101×105
A = 3/4 × (4/1×5 + 4/5×9 + 4/9×13 + ... + 4/97×101 + 4/101×105)
A = 3/4 × (1 - 1/5 + 1/5 - 1/9 + 1/9 - 1/13 + ... + 1/97 - 1/101 + 1/101 - 1/105)
A = 3/4 × (1 - 1/105)
A = 3/4 × 104/105
A = 26/35
B = 1/5 + 1/25 + 1/125 + 1/625 + 1/3125 + 1/15625
5B = 1 + 1/5 + 1/25 + 1/125 + 1/625 + 1/3125
5B - B = (1 + 1/5 + 1/25 + 1/125 + 1/625 + 1/3125) - (1/5 + 1/25 + 1/125 + 1/625 + 1/3125 + 1/15625)
4B = 1 - 1/15625
4B = 15624/15625
B = 15624/15625 : 4
B = 3906/15625
C = 1 + 2 + 4 + 8 + 16 + ... + 2048 + 4096
2C = 2 + 4 + 8 + 16 + 32 + ... + 4096 + 8192
2C - C = (2 + 4 + 8 + 16 + 32 + ... + 4096 + 8192) - (1 + 2 + 4 + 8 + ... + 2048 + 4096)
B = 8192 - 1
B = 8191
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*Mylinh*
Cách 1:
Trại có số con gà là : 3125 x 2/5 = 1250 (con gà)
Trại có số vịt là : 3125 - 1250 = 1875(con vịt)
Cách 2:
Số vịt chiếm : 1-2/5 = 3/5 (tổng số)
Trại có số vịt là : 3125 x 3/5 = 1875 (con vịt)
2) \(\frac{3}{1\times3}+\frac{3}{3\times5}+\frac{3}{5\times7}+...+\frac{3}{99\times101}+\frac{3}{101\times103}\)
\(=\frac{3}{2}\times\left(\frac{2}{1\times3}+\frac{2}{3\times5}+\frac{2}{5\times7}+...+\frac{2}{101\times103}\right)\)
\(=\frac{3}{2}\times\left(1-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+...+\frac{1}{101}-\frac{1}{103}\right)\)
\(=\frac{3}{2}\times\left(1-\frac{1}{103}\right)\)
\(=\frac{3}{2}\times\frac{101}{103}\)
\(=\frac{303}{206}\)
1. They __________ the bus yesterday.
A. don’t catch B. weren’t catch C. didn’t catch D. not catch
2. My sister __________ home late last night.
A. comes B. come C. came D. was come
3. My father __________ tired when I __________ home.
A. was – got B. is – get C. was – getted D. were – got
4. What __________ you __________ two days ago?
A. do – do B. did – did C. do – did D. did – do
5. Where __________ your family __________ on the summer holiday last year?
A. do – go B. does – go C. did – go D. did – went
6. "When ________________?" - "In 1928."
A. did penicillin discovered B. did penicillin discover
C. was penicillin discovered D. penicillin was discovered
7. I had met my old friend before I ------ to see you yesterday.
A. have gone B. went C. had gone D. go
8. This is the house that Jack ______ three years ago.
A. built B. had built C. builds D. was building
9. The Second World War _____ in 1939.
A. start B. starts C. has started D. started
10. Her daughter ____________ in 2014.
A. is born B. has born C. was born D. born
11. When we _____ up this morning, the sun was shining.
A. had got B. got C. were getting D. has got
12. They _____________ a new house two years ago.
A. buy B. are buying C. have bought D. bought
13. They _________ here a month ago.
A. are coming B. have came C. came D. come
14. When I was young, I ______to be a singer .
A. had wanted B. was wanting C. have wanted D. wanted
15. How fast was she driving when the accident________?
A. happened B. was happening C. happens D. had happened
\(5^x.5^{x+1}.5^{x+2}=3125\)
\(\Rightarrow5^{x+x+1+x+2}=5^5\)
\(\Rightarrow5^{3x+3}=5^5\)
\(\Rightarrow3x+3=5\)
\(\Rightarrow3x=2\)
\(\Rightarrow x=\frac{2}{3}\)
1-1/3125=3124/3125