A=1/2 + 1/6 + 1/12 +...+ 1/6480
tim A biet:
A= 1/2+1/6+1/12+...+1/6480
A=\(\frac{1}{1.2}+\frac{1}{2.3}+.............+\frac{1}{80.81}\)
\(=\frac{1}{1}-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+.........+\frac{1}{80}-\frac{1}{81}\)
\(=1-\frac{1}{81}\)
\(=\frac{80}{81}\)
A = 1/2 + 1/6 + 1/12 + ... + 1/6480
A = 1/1.2 + 1/2.3 + 1/3.4 + ... + 1/80.81
A = 1/1 - 1/2 + 1/2 - 1/3 + 1/3 - 1/4 + ... + 1/80 - 1/81
A = 1/1 - 1/81
A = 80/81
Vậy A = 80/81
\(\text{Ta có: }A=\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+.....+\frac{1}{80.81}\)
\(\Rightarrow A=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+......+\frac{1}{80}-\frac{1}{81}\)
\(\Rightarrow A=1-\frac{1}{81}\)
\(\Rightarrow A=\frac{80}{81}\)
Tính A biết:
A=1/2+1/6+1/12+...+1/6480
\(A=\frac{1}{1\times2}+\frac{1}{2\times3}+\frac{1}{3\times4}+....+\frac{1}{80\times81}\)
\(A=\frac{1}{1}-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+...+\frac{1}{80}-\frac{1}{81}\)
\(A=\frac{1}{1}-\frac{1}{81}\)
\(A=\frac{80}{81}\)
Vậy A = \(\frac{80}{81}\)
\(\Rightarrow A=\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+....+\frac{1}{80.81}\)
\(\Rightarrow A=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+....+\frac{1}{80}-\frac{1}{81}\)
\(\Rightarrow A=1-\frac{1}{81}\)
\(\Rightarrow A=\frac{80}{81}\)
\(A=\frac{1}{1.2}+\frac{1}{2.3}+...+\frac{1}{80.81}\)
\(=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{80}-\frac{1}{81}\)
\(=1-\frac{1}{81}\)
\(=\frac{80}{81}\)
\(A=\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+...+\frac{1}{6480}\)
A = 1/2 + 1/6 + 1/12 + .. + 1/6480
A= 1/1 x 2 + 1/2 x 3 + 1/3 x 4 + ... + 1/80 x 81
A = 1 - 1/2 + 1/2 - 1/3 + 1/3 - 1/4 + ... + 1/80 - 1/81
A = 1 - 1/81
A = 80/81
\(A=\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+...+\frac{1}{6480}\)
\(A=\frac{1}{1}\times2+\frac{1}{2}\times3+\frac{1}{3}\times4+...+\frac{1}{80}\times81\)
\(A=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-...+\frac{1}{80}-\frac{1}{81}\)
\(A=1-\frac{1}{81}\)
\(A=\frac{80}{81}\)
\(A=\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+...+\frac{1}{6084}\)
\(\Rightarrow A=\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+...+\frac{1}{80.81}\)
\(\Rightarrow A=\frac{1}{1}-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{80}-\frac{1}{81}\)
\(\Rightarrow A=1-\frac{1}{81}=\frac{80}{81}\)
Tính A biết A=1/2+1/6+1/12+...+1/6480
giup minh nhanh len nhe minh dang can
\(A=\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+...+\frac{1}{6480}\)
\(=\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+...+\frac{1}{80.81}\)
\(=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+....+\frac{1}{80}-\frac{1}{81}=1-\frac{1}{81}=\frac{80}{81}\)
\(A=\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+...+\frac{1}{6480}\)
\(A=\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+...+\frac{1}{80.81}\)
\(A=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{80}-\frac{1}{81}\)
\(A=1-\frac{1}{81}\)
\(A=\frac{80}{81}\)
Cái này là toán lớp 6 nha bn
Ủng hộ mk nha ^_-
A=\(\frac{1}{1x2}+\frac{1}{2x3}+\frac{1}{3x4}+...+\frac{1}{80x81}\)
A=\(1-\frac{1}{81}=\frac{80}{81}\)
Tìm Z, biết:
Z = \(\frac{1}{2}\)+ \(\frac{1}{6}\)+ \(\frac{1}{12}\)+ .......... + \(\frac{1}{6480}\)
Trình bày rõ cách giải
\(Z=\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+...+\frac{1}{6480}\)
\(Z=\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+...+\frac{1}{80.81}\)
\(Z=\frac{1}{1}-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{80}-\frac{1}{81}\)
\(Z=\frac{1}{1}-\frac{1}{81}=\frac{80}{81}\)
\(Z=\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+.....+\frac{1}{6480}\)
\(=\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+......+\frac{1}{80.81}\)
\(=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}+.....+\frac{1}{80}-\frac{1}{81}\)
\(=1-\frac{1}{81}\)
\(=\frac{80}{81}\)
\(Z=\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+...+\frac{1}{6480}\)
\(Z=\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+...+\frac{1}{80.81}\)
\(Z=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{80}-\frac{1}{81}\)
\(Z=1-\frac{1}{81}=\frac{80}{81}\)
Ủng hộ mk nha !!! *_*
Tìm n ∈ ℕ * sao cho
C n 1 + 3 C n 2 + 7 C n 3 + . . . + ( 2 n - 1 ) C n n = 3 2 n - 2 n - 6480 .
A. n=4
B. n=5
C. n=6
D. n=7
bài 1
a,3 mu x+4-3 mu x=6480
b,x mũ 5=4x mũ 3
c, (x-5) mu 4 =(x-5) mu 6
giải hộ mik vs nhé mik cần gấp
Bạn đợi tí nha Trần Phương Thùy
Mình đang trả lời !
\(a,\text{ }3^{x+4}-3^x=6480\)
\(3^x\left(3^4-1\right)=6480\)
\(3^x\cdot80=6480\)
\(3^x=6480\text{ : }80\)
\(3^x=81\)
\(3^x=3^4\)
\(\Rightarrow\text{ }x=4\)
\(b,\text{ }x^5=4x^3\)
\(x^5-4x^3=0\)
\(x^3\left(x^2-4\right)=0\)
\(\Rightarrow\orbr{\begin{cases}x^3=0\\x^2-4=0\end{cases}}\) \(\Rightarrow\orbr{\begin{cases}x=0\\x^2=4\end{cases}}\) \(\Rightarrow\orbr{\begin{cases}x=0\\x=\pm2\end{cases}}\)
\(\Rightarrow\text{ }x\in\left\{0\text{ ; }-2\text{ ; }2\right\}\)
a) từ 1/4=3/12 để 1/4=3/12 ta cần ghép các mảnh 1/12 +2/12
b) từ 1/2=6/12 để 1/2=6/12 ta cần ghép các mảnh 4/12+2/12 và 5/12 +1/12
a, [1- 1/2] *[1- 1/3]*[1- 1/4]*[1- 1/4]*[1- 1/5]*[1- 1/6]
b 1/2*4*6 + 1/4*6*8 +1/6*8*10 +1/8*10*12 +1/10*12*14 +...1/96*98*100
a) ( 1 - 1/2 ) x ( 1 - 1/3 ) x ( 1 - 1/4 ) x ( 1 - 1/5 ) x ( 1 - 1/6 )
= 1/2 x 2/3 x 3/4 x 4/5 x 5/6
= \(\frac{1.2.3.4.5}{2.3.4.5.6}\)
= 1/6