thực hiện phép tính
E=1+1/2(1+2)+1/2(1+2+3)+1/4(1+2+3+4)+.....+1/200(1+2+3+....+200)
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Thực hiện tính:
E=1+1/2.(1+2)+1/3.(1+2+3)+1/4.(1+2+3+4)+.....+1/200(1+2+...+200)
thực hiện phép tính E=1+\(\frac{1}{2}\)(1+2)+\(\frac{1}{3}\)(1+2+3)+\(\frac{1}{4}\)(1+2+3+4)+....+\(\frac{1}{200}\)(1+2+...+200)
Thực hiện phép tính:
E = \(1+\frac{1}{2}\left(1+2\right)+\frac{1}{3}\left(1+2+3\right)+\frac{1}{4}\left(1+2+3+4\right)+...+\frac{1}{200}\left(1+2+...+200\right)\)
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\(E=1+\frac{1}{2}\left(1+2\right)+\frac{1}{3}\left(1+2+3\right)+...+\frac{1}{200}\left(1+2+....+200\right)\)
\(=1+\frac{1}{2}.\frac{2.3}{2}+\frac{1}{3}.\frac{3.4}{2}+....+\frac{1}{200}.\frac{200.201}{2}\)
\(=\frac{2}{2}+\frac{3}{2}+\frac{4}{2}+....+\frac{201}{2}\)
\(=\frac{2+3+4+...+201}{2}\)
\(=\frac{\frac{201.202}{2}-1}{2}=10150\)
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Thực hiện tính :
E = \(1+\frac{1}{2}\left(1+2\right)+\frac{1}{3}\left(1+2+3\right)+\frac{1}{4}\left(1+2+3+4\right)+...+\frac{1}{200}\left(1+2+...+200\right)\)
\(E=1+\frac{1}{2}\left(1+2\right)+\frac{1}{3}\left(1+2+3\right)+...+\frac{1}{200}\left(1+2+...+200\right)\)
\(=1+\frac{1}{2}.\frac{2.3}{2}+\frac{1}{3}.\frac{3.4}{2}+.....+\frac{1}{200}.\frac{200.201}{2}\)
\(=1+\frac{3}{2}+\frac{4}{2}+....+\frac{201}{2}\)
\(=\frac{2+3+4+...+201}{2}\)
\(=\frac{\frac{201.\left(201+1\right)}{2}-1}{2}\)
\(=10150\)
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Thực hiện tính :
E = \(1+\frac{1}{2}\left(1+2\right)+\frac{1}{3}\left(1+2+3\right)+\frac{1}{4}\left(1+2+3+4\right)+...+\frac{1}{200}\left(1+2+...+200\right)\)
a)Tính tổng :E=1+1/2(1+2)+1/3(1+2+3)+1/4(1+2+3+4)+...+1/200(1+2+3+4+...+200)
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Áp dụng công thức \(1+2+...+n=\frac{n\left(n+1\right)}{2}\)ta có:
\(E=1+\frac{1}{2}\left(1+2\right)+\frac{1}{3}\left(1+2+3\right)+...+\frac{1}{200}\left(1+2+...+200\right)\)
\(=1+\frac{1}{2}.\frac{2.3}{2}+\frac{1}{3}.\frac{3.4}{2}+....+\frac{1}{200}.\frac{200.201}{2}\)
\(=1+\frac{3}{2}+\frac{4}{2}+....+\frac{201}{2}\)
\(=\frac{2+3+4+...+201}{2}=\frac{\frac{201.202}{2}-1}{2}=10150\)
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1+1/2x(1+2)+1/3x(1+2+3)x...x1/200x(1+2+3+...+200)
hãy thực hiện phép tính sau một cách hợp lí
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4 tháng 6 2021 lúc 19:07
Thực hiện phép tính: (Tính nhanh nếu có thể)1) 347.22 – 22 . ( 216 + 184 ) : 8 ; 2) 132 – [116 – ( 132 – 128 )2] ;3) 16 :{400 : [200 – ( 37 + 46 . 3 )]} ; 4) {184 : [96 – 124 : 31 ] – 2 }. 3651 ; 5) 46 – [ (16 + 71 . 4 ) : 15 ]} – 2 ; 6) 33.18 + 72 .42 – 41 .187)( 56 . 46 – 25 . 23 ) : 23 ; 8) ( 28 . 54 + 56 . 36 ) : 21 : 2 ;9) ( 76 . 34 – 19 . 64 ) : ( 38 . 9 ) ; 10) ( 2+ 4...
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Thực hiện phép tính: (Tính nhanh nếu có thể)
1) 347.22 – 22 . ( 216 + 184 ) : 8 ;
2) 132 – [116 – ( 132 – 128 )2] ;
3) 16 :{400 : [200 – ( 37 + 46 . 3 )]} ;
4) {184 : [96 – 124 : 31 ] – 2 }. 3651 ;
5) 46 – [ (16 + 71 . 4 ) : 15 ]} – 2 ;
6) 33.18 + 72 .42 – 41 .18
7)( 56 . 46 – 25 . 23 ) : 23 ;
8) ( 28 . 54 + 56 . 36 ) : 21 : 2 ;
9) ( 76 . 34 – 19 . 64 ) : ( 38 . 9 ) ;
10) ( 2+ 4 + 6 + ….. + 100 ) . ( 36 . 333 – 108 . 111)
11) ( 5 . 411- 3 .165 ): 410
12) \(\dfrac{7256.4375-725}{3650+4375.7255}\)
E=1+1/2(1+2)+1/3(1+2+3)+1/4(1+2+3+4)+............+1/200(1+2+......+200)
\(E=1+\frac{1}{2}\left(1+2\right)+\frac{1}{3}\left(1+2+3\right)+\frac{1}{4}\left(1+2+3+4\right)+...+\frac{1}{200}\left(1+2+...+200\right)\)
\(E=1+\frac{1}{2}.\frac{\left(1+2\right).2}{2}+\frac{1}{3}.\frac{\left(1+3\right).3}{2}+...+\frac{1}{200}.\frac{\left(1+200\right).200}{2}\)
\(E=1+\frac{1+2}{2}+\frac{1+3}{2}+...+\frac{1+200}{2}\)
\(E=1+\frac{3}{2}+\frac{4}{2}+...+\frac{201}{2}\)
\(E=\frac{2+3+4+...+201}{2}=\frac{\left(201+2\right).200:2}{2}\)
\(E=10150\)
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