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Ta có:
\(A=\frac{1}{2.3}+\frac{1}{6.5}+\frac{1}{10.7}+...+\frac{1}{198.101}\)
\(=\frac{2}{\left(2.3\right).2}+\frac{2}{\left(6.5\right).2}+\frac{2}{\left(10.7\right).2}+...+\frac{2}{\left(198.101\right).2}\)
\(=\frac{2}{2.\left(3.2\right)}+\frac{2}{6.\left(5.2\right)}+\frac{2}{10.\left(7.2\right)}+...+\frac{2}{198.\left(101.2\right)}\)
\(=\frac{2}{2.6}+\frac{2}{6.10}+\frac{2}{10.14}+...+\frac{2}{198.202}\)
\(=\frac{4}{2.6}:2+\frac{4}{6.10}:2+\frac{4}{10.14}:2+...+\frac{4}{198.202}:2\)
\(=\left(\frac{4}{2.6}+\frac{4}{6.10}+\frac{4}{10.14}+...+\frac{4}{198.202}\right):2\)
\(=\left(\frac{1}{2}-\frac{1}{202}\right):2\)
\(=\frac{50}{202}=\frac{25}{101}\)
Vậy \(A=\frac{25}{101}\)
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Ta có S=1x2+3x4+5x6+.....+49x50
=>3S là:
3S=1x2x3+3x4x3+5x6x3+.......+49x50x3
3S=1x2x3+3x4x(5-2)+5x6x(7-4)x......+49x50x(51-58)
S=49x50x51:3
S=41650
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=>3B=3.4.3+4.5.3+...+149.150.3
=>3B=3.4.(5-2)+4.5.(6-3)+...+149.150.(151-148)
=>3B=(3.4.5-.2.3.4)+(4.5.6-3.4.5)+...+(149.150.151-148.149.150)
=>3B=149.150.151-2.3.4
=>3B=3374850-24
=>3B=3374826
=>B=1124942
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1x2 + 3x4 + 5x6 + 7x8 + 9x10
=2 + 12 +30 +56 +90
=14 + 30 + 56 + 90
=44 +56 + 90
=100 + 90
=190
tk nhé
rút gọn phân số nha mn
cố làm nhanh giúp mk nha!
ai trả lời đầu tiên và đúng nhất mk cho
-15x8 + 10x7 = -120 + 70 = -50
5x6 + 20x3 = 30 + 60 = 90