tính hợp lí: 1+4+9+16+...100
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B = 1.3/2.2 . 2.4/3.3 . 3.5/4.4 . ...... . 9.11/10.10
= 1.2.3 . ..... . 9/2.3.4 . ..... . 10 . 3.4.5 . ...... . 11/2.3.4 . ..... . 10
= 1/10 . 11/2
= 11/20
Tk mk nha
\(B=\frac{3}{4}.\frac{8}{9}...\frac{99}{100}\)
\(B=\frac{1\cdot3}{2^2}.\frac{2\cdot4}{3^3}...\frac{9\cdot11}{10^2}\)
\(B=\frac{1.3.2.4...9.11}{2^2.3^3...10^2}\)
\(B=\frac{11}{2.10}\)
\(B=\frac{11}{20}\)
\(=\dfrac{3^2\cdot2^{36}}{11\cdot2^{13}\cdot2^{22}-2^{36}}=\dfrac{3^2\cdot2^{36}}{2^{35}\cdot9}=2\)
\(\dfrac{3}{8}+\dfrac{9}{2}\times\dfrac{12}{16}-\dfrac{9}{4}:3\)
= \(\dfrac{3}{4}\times\dfrac{1}{2}+\dfrac{9}{2}\times\dfrac{3}{4}-\dfrac{3}{4}\times3:3\)
= \(\dfrac{3}{4}\times\dfrac{1}{2}+\dfrac{9}{2}\times\dfrac{3}{4}-\dfrac{3}{4}\times1\)
= \(\dfrac{3}{4}\times\left(\dfrac{1}{2}+\dfrac{9}{2}-1\right)\)
= \(\dfrac{3}{4}\times\left(5-1\right)\)
= \(\dfrac{3}{4}\times4\)
= 3
1.
\(B=20182018.2017-20172017.2018\)
\(B=2018.10001.2017-2017.10001.2018\)
\(B=0\)
1 B=20182018.2017-20172017.2018
B=2018.10001.2017-2017.10001.2018
B=0
2 C=12+22+32+...+1002
C=1(1+0)+2(1+1)+3(1+2)+...+100(1+99)
C=1+2+1.2+3+2.3+...+100+99.100
C=(1+2+3+...+100)+(1.2+2.3+...+99.100)
C=[(1+100).100:2]+[(99.100.101):3]
C=5050+333300
C=338350
1/ 1+(-6)+11+(-16)+21+(-26)+31+(-36)
= -20
2/1+(-3)+2+8+(-7)+7+3+9+17+100+(-7)
=130
giup mình nkes
\(1+4+9+16+...+100\)
\(=1^2+2^2+3^2+4^2+...+10^2\)
\(=\frac{10\times\left(10+1\right)\times\left(2\times10+1\right)}{6}=385\)