A= 6/12+ 6/84+ 6/210+ 6/390+...+ 6/1254+ 6/1650
Ghi rõ các bước làm giúp mk
SOS, SOS
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\(\dfrac{6}{84}+\dfrac{6}{210}+\dfrac{6}{390}+...+\dfrac{6}{2100}\)
\(=\dfrac{2}{28}+\dfrac{2}{70}+\dfrac{2}{130}+...+\dfrac{2}{700}\)
\(=\dfrac{2}{4.7}+\dfrac{2}{7.10}+\dfrac{2}{10.13}+...+\dfrac{2}{25.28}\)
\(=\dfrac{2}{3}.\left(\dfrac{3}{4.7}+\dfrac{3}{7.10}+\dfrac{3}{10.13}+...+\dfrac{3}{25.28}\right)\)
\(=\dfrac{2}{3}.\left(\dfrac{1}{4}-\dfrac{1}{7}+\dfrac{1}{7}-\dfrac{1}{10}+...+\dfrac{1}{25}-\dfrac{1}{28}\right)\)
\(=\dfrac{2}{3}\left(\dfrac{1}{4}-\dfrac{1}{28}\right)\)
\(=\dfrac{1}{7}\)
a)
f(x) + h(x) = g(x)
\( \Rightarrow x^4 - 3x^2 + x-1 \) + h(x) = \(x^4 - x^3 + x^2 +5\)
\(\Rightarrow \) h(x) = \(( x^4 - x^3 + x^2 + 5 ) - ( x^4 - 3x^2 + x-1 )\)
\(\Rightarrow \) h(x) = \(x^4 - x^3 + x^2 + 5 - x^4 + 3x^2 - x +1\)
\(\Rightarrow\) h(x) = \(( x^4-x^4 ) + ( -x^3 ) + ( x^2 + 3x^2 ) + ( 5+1)\)
\(\Rightarrow\) h(x) = \(4x^2 - x^3 +6\)
Vậy h(x) = \(4x^2 - x^3 +6\)
b) f(x) - h(x) = g(x)
\(\Rightarrow \) \(x^4 - 3x^2 +x-1\) - h(x) = \(x^4 - x^3 + x^2-1\)
\(\Rightarrow\) h(x) = \((x^4 - 3x^2 +x-1)\) - \((x^4 - x^3 + x^2 +5 )\)
\(\Rightarrow\) h(x) = \(x^4 - 3x^2 + x-1 - x^4 + x^3 - x^2 - 5\)
\(\Rightarrow\) h(x) = \(( x^4-x^4 ) + x^3 + ( -3x^2 - x^2 ) + ( -1-5 )\)
\(\Rightarrow\) h(x) = \(x^3 - 4x^2 -6\)
Vậy h(x) = \(x^3 - 4x^2 -6\)
a) Tính chất đặc trưng:
Các số chia cho 6 dư 1 nhỏ hơn 38
=> \(A=\left\{x\inℕ^∗|x=6k+1,k\inℕ^∗\right\}\)
b) Tính chất đặc trưng
2 = 1 x 2
6 = 2 x 3
12 = 3 x 4
20 = 4 x 5
30 = 5 x 6
=> \(B=\left\{x=n\left(n+1\right)|n\inℕ^∗,n\le5\right\}\)
a) 210:[16+3.(6+3.2^2)]-3
=210:[16+3.(6+3.4)]-3
=210:[16+3.(6+12)]-3
=210:[16+3.18]-3
=210:[16+54]-3
=210:70-3
=3-3
=0
\(500-\left\{5.\left[409.\left(2^3.3-21\right)^2\right]\right\}-3\)
a) \(\frac{1.3+3.5+5.7+7.9}{3.6+9.10+15.14+21.18}\)
= \(\frac{1.3+3.5+5.7+7.9}{1.3.2.3+3.5.2.3+5.7.2.3+7.9.2.3}\)
= \(\frac{1.3+3.5+5.7+7.9}{1.3.6+3.5.6+5.7.6+7.9.6}\)
= \(\frac{1.3+3.5+5.7+7.9}{6.\left(1.3+3.5+5.7+7.9\right)}=\frac{1}{6}\)
Dấu "." là dấu nhân cấp 2
b) \(\frac{1.2+2.3+3.4+4.5}{3.6+6.9+9.12+12.15}\)
= \(\frac{1.2+2.3+3.4+4.5}{1.2.3.3+2.3.3.3+3.4.3.3+4.5.3.3}\)
= \(\frac{1.2+2.3+3.4+4.5}{1.2.9+2.3.9+3.4.9+4.5.9}\)
= \(\frac{1.2+2.3+3.4+4.5}{9.\left(1.2+2.3+3.4+4.5\right)}=\frac{1}{9}\)
Dấu "." là dấu nhân cấp 2
c) \(\frac{0,3+\frac{3}{7}+\frac{3}{11}}{0,4+\frac{4}{7}+\frac{4}{11}}\)= \(\frac{\frac{3}{10}+\frac{3}{7}+\frac{3}{11}}{\frac{4}{10}+\frac{4}{7}+\frac{4}{11}}\)= \(\frac{3.\left(\frac{1}{10}+\frac{1}{7}+\frac{1}{11}\right)}{4.\left(\frac{1}{10}+\frac{1}{7}+\frac{1}{11}\right)}=\frac{3}{4}\)
let's start our tour in ho chi minh. we are in HAI BA TRUNG street now.first,go to straigh and take the second turning.it's on your left.finally,you are on saigon opera house.
179 x 24 - 48 x 89
= 179 x 24 - 24 x 2 x 89
= 24 x ( 179 - 2x89)
= 24 x ( 179 - 178)
= 24 x 1
= 24