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\(\frac{1}{5}+\frac{4}{10}+\frac{9}{15}+\frac{16}{20}+1+\frac{36}{30}+\frac{49}{35}+\frac{64}{40}+\frac{81}{45}\)
\(=\left(\frac{1}{5}+\frac{81}{45}\right)+\left(\frac{4}{10}+\frac{49}{35}\right)+\left(\frac{9}{15}+\frac{49}{35}\right)+\left(\frac{16}{20}+\frac{36}{30}\right)+1\)
\(=2+2+2+2+1\)
\(=2\times4+1\)
\(=9\)
~ Hok tốt ~
a,(815+185)-(23+77)
=1000-100=900
b,(2496+7504)+(5347+4653)+3145
=10000+ 10000 +3145
=23146
c,(1+19)+(3+17)+(5+15)+(7+13)+(9+11)
=20+20+20+20+20=100
d,(52+28)+(37+63)-(42+38)
=80+100-80=100
mk nha
a,(815+185)-(23+77)
=1000-100=900
b,(2496+7504)+(5347+4653)+3145
=10000+ 10000 +3145
=23146
c,(1+19)+(3+17)+(5+15)+(7+13)+(9+11)
=20+20+20+20+20=100
d,(52+28)+(37+63)-(42+38)
=80+100-80=100
mk nha
Ta có: \(\dfrac{1}{5}+\dfrac{4}{10}+\dfrac{9}{15}+\dfrac{16}{20}+\dfrac{25}{25}+\dfrac{36}{30}+\dfrac{49}{35}+\dfrac{64}{40}+\dfrac{81}{45}\)
\(=\dfrac{1}{5}+\dfrac{2}{5}+\dfrac{3}{5}+\dfrac{4}{5}+\dfrac{5}{5}+\dfrac{6}{5}+\dfrac{7}{5}+\dfrac{8}{5}+\dfrac{9}{5}\)
\(=\dfrac{45}{5}=9\)
\(\frac{4}{3}+\frac{16}{15}+\frac{36}{35}+\frac{64}{63}+\frac{100}{99}\\ =\frac{2.2}{1.3}+\frac{4.4}{3.5}+\frac{6.6}{5.7}+\frac{8.8}{7.9}+\frac{10.10}{9.11}\)
\(\frac{4}{3}+\frac{16}{15}+\frac{36}{35}+\frac{64}{65}+\frac{100}{99}\)
\(1+\frac{1}{3}+1+\frac{1}{15}+1+\frac{1}{35}+1+\frac{1}{65}+1+\frac{1}{99}\)
\(\left(1+1+1+1+1\right)+\left(\frac{1}{3}+\frac{1}{15}+\frac{1}{35}+\frac{1}{65}+\frac{1}{99}\right)\)
\(\frac{60}{11}\)
a. Số số hạng: (64-1):3+1=22
Tổng:(64+1)x22=715
b. Số số hạng: (125-5):5+1=25
Tổng: (125+5)x25:2=1625
a) 1 + 4 + 7 +...+ 64
= \(\frac{\left[\left(64-1\right):3+1\right].\left(64+1\right)}{2}=\frac{1430}{2}=715\)
b) 5 + 10 + 15 +...+ 125
=\(\frac{\left[\left(125-5\right):5+1\right].\left(125+5\right)}{2}=\frac{3250}{2}=1625\)
A ) 1,85 x 27 + 1,85 x 9 + 185: 0,25 - 0,185 x 500 + 18,5
= 1,85 x 27 + 1,85 x 9 + 1,85 x 100 x 4 - 1,85 : 10 x 500 + 1,85 x 10
= 1,85 x 27 + 1,85 x 9 + 1,85 x 100 x 4 + 1,85 x 10 - 1,85 x 50
= 1,85 x 27 + 1,85 x 9 + 1,85 x 400 + 1,85 x 10 - 1,85 x 50
= 1,85 x ( 27 + 9 + 400 + 10 - 50 )
= 1,85 x 396
= 732,6
mk k chắc nha
1/5 + 4/10 +9/15 + 16/20 + 25/25 + 36/30 + 49/35 + 64/40 + 81/45
=1/5 + 2/5 + 3/5 +...+ 9/5
=45/5=9
\(\frac{1}{5}+\frac{4}{10}+\frac{9}{15}+\frac{16}{20}+\frac{25}{25}+\frac{36}{30}+\frac{49}{35}+\frac{64}{40}+\frac{81}{45}\)
\(=\frac{1}{5}+\frac{1}{5}+\frac{3}{5}+\frac{4}{5}+\frac{5}{5}+\frac{6}{5}+\frac{7}{5}+\frac{8}{5}+\frac{9}{5}\)
\(=\frac{\left(9+1\right)\cdot9:2}{5}=\frac{45}{5}=9\)
\(A=\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}+\frac{1}{32}+\frac{1}{64}+\frac{1}{128}+\frac{1}{256}\)
\(2A=2.\left(\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}+\frac{1}{32}+\frac{1}{64}+\frac{1}{128}+\frac{1}{256}\right)\)
\(2A=1+\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}+\frac{1}{32}+\frac{1}{64}+\frac{1}{128}\)
\(2A-A=\left(1+\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}+\frac{1}{32}+\frac{1}{64}+\frac{1}{128}\right)\)
\(-\left(\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}+\frac{1}{32}+\frac{1}{64}+\frac{1}{128}+\frac{1}{256}\right)\)
\(\Rightarrow A=1-\frac{1}{256}\)
\(\Rightarrow A=\frac{255}{256}\)
= ( 185 + 15 ) + ( 236 + 64 )
= 200 + 300
= 500
185 + 236 + 15 + 64
=(185+15)+(236+64)
=200+300
=500