Tính: a) (56 - 26).(-4) + 61.(-11 -19); b) (-23).(35 -15) - 35.(15 - 23).
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tính nhanh tổng sau :
a, D=1/2+1/4+1/8+1/16+1/32+•••+1/512+1/1024
b, Đ=1/1*2+1/2*3+1/3*4+•••+1/18*19+1/19*20
c,E=1/11*16+1/16*21+1/21*26+•••1/56*26+1/61*-6
Ai nhanh thì mình tick
a) \(D=\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}+\frac{1}{32}+...+\frac{1}{512}+\frac{1}{1024}\)
=> \(2D=1+\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}+...++\frac{1}{256}+\frac{1}{512}\)
=> \(2D-D=\left(1+\frac{1}{2}+...+\frac{1}{512}\right)-\left(\frac{1}{2}+\frac{1}{4}+...+\frac{1}{1024}\right)\)
=> \(D=1-\frac{1}{1024}\)
b) \(Đ=\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+...+\frac{1}{18.19}+\frac{1}{19.20}\)
\(=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+...+\frac{1}{18}-\frac{1}{19}+\frac{1}{19}-\frac{1}{20}\)
\(=1-\frac{1}{20}=\frac{19}{20}\)
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a) D=\(\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}+\dots+\frac{1}{512}+\frac{1}{1024}.\)
\(D=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{4}+\frac{1}{4}-\frac{1}{8}+\frac{1}{8}-\frac{1}{16}+\dots+\frac{1}{512}-\frac{1}{1024}\)
\(D=1-\frac{1}{1024}\)
\(D=\frac{1023}{1024}\)
\(Đ=\frac{1}{1\cdot2}+\frac{1}{2\cdot3}+\frac{1}{3\cdot4}+\dots+\frac{1}{18\cdot19}+\frac{1}{19\cdot20}\)
\(Đ=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\dots+\frac{1}{18}-\frac{1}{19}+\frac{1}{19}-\frac{1}{20}\)
\(Đ=1-\frac{1}{20}\)
\(Đ=\frac{19}{20}\)
Phần c như kiểu sai đề chỗ cuối hay sao ấy.
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2+19+3+2+5+5+5+5+5+9+8+9+5+5+3+1
46+56+61+26+99999=
2+19+3+2+5+5+5+5+9+8+9+5+5+3+1+46+56+61+26+99999 =11281
Mình chắc chắn 10000000000000000000000000000000000000000000000% luôn
Vậy hãy duyệt cho mk nha !
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a.1/6+1/12+1/20+1/30+1/42+............+1/90+1/110
b.2/11*13+2/13*15+2/15*17+..........+2/97*99+2/99*101
c.1/11*16+1/16*21+1/21*26+.................+1/56*61+1/61*66
1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17+18+19+20+21+22+23+24+25+26+27+28+29+30+31+32+33+34+35+36+37+38+39+40+41+42+43+44+45+46+47+48+49+50+51+52+53+54+56+57+58+59+60+61+62+63+64+65+66+67+68+69+70=?
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1/6+1/12+1/20+1/30+1/42+.....+1/90+1/110
1/11*16+1/16*21+1/21*26+.....+1/56*61+1/61*66
mik cũng đang ko biết bài này nè
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Tính Hợp lí nếu có thể!
7/19*-8/11+7/19*-3/11+26/19
1,25*7/19+5/4*15/19 - 1 phần 1/4*3/19
Tính A = 5/11*16 +5/16*21 +5/21*26 +....+5/61*66
tính tổng sau : A= 3/11*16+3/16*21+3/21*26+.....+3/61*66
A= 3/11*16+3/16*21+3/21*26+.....+3/61*66
\(=\frac{3}{5}\left(\frac{5}{11.16}+\frac{5}{16.21}+...+\frac{5}{61.66}\right)\)
\(=\frac{3}{5}\left(\frac{1}{11}-\frac{1}{16}+\frac{1}{16}-\frac{1}{21}+...+\frac{1}{61}-\frac{1}{66}\right)\)
\(=\frac{3}{5}\left(\frac{1}{11}-\frac{1}{66}\right)\)
\(=\frac{3}{5}\cdot\frac{5}{66}\)
\(=\frac{1}{22}\)
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\(A=\frac{3}{11.16}+\frac{3}{16.21}+\frac{3}{21.26}+...+\frac{3}{61.66}\)
\(\Rightarrow A=\frac{3}{5}\left(\frac{5}{11.16}+\frac{5}{16.21}+\frac{5}{21.26}+...+\frac{5}{61.66}\right)\)
\(\Rightarrow A=\frac{3}{5}.\left(\frac{1}{11}-\frac{1}{16}+\frac{1}{16}-\frac{1}{21}+\frac{1}{21}-\frac{1}{26}+...+\frac{1}{61}-\frac{1}{66}\right)\)
\(\Rightarrow A=\frac{3}{5}.\left(\frac{1}{11}-\frac{1}{66}\right)\)
\(\Rightarrow A=\frac{3}{5}.\frac{5}{66}\)
\(\Rightarrow A=\frac{1}{22}\)
Vậy \(A=\frac{1}{22}\)
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