Tính nhanh: B = 3 99.96 − 3 96.93 − 3 93.90 − ... − 3 7.4 − 3 4
B=3/99.96-3/96.93-3/93.90-........-3/7.4-3/4
3/99.96-3/96.93-3/93.90-.........-3/7.4-3.4
a) Cho A= 3^1 + 3^2 + 3^3 +.....+ 3^2006
1.Thu gọn A
2.Tìm x để 2A + 3=3^x
b) Tính nhanh:
A= 1.5.6 + 2.10.12 + 4.20.24 + 9.45.54/1.3.5 + 2.6.10 +4.12.20 +9.27.45
P/S: Câu b tính nhanh là tính cái phân số đó:)) Dấu chấm là nhân:))
Ai nhanh cho tick:)
a) 3A = 3^2 + 3^3 +...... + 3^2007
2A = (3^2 - 3^2) + (3^3-3^3) +.... + 3^2007 - 3
A = (3^2007 - 3)/2
2A + 3 = (3^2007 - 3)/2 x 2 + 3 = 3^2007
=> x = 2007
Cấu b dễ hơn nhưng hơi dài bạn chỉ lấy thừa số chung là OK
Lời giải:
a. $99^3+1+3(99^2+99)=99^3+3.99^2.1+3.99.1^2+1^3=(99+1)^3=100^3=1000000$
b. $11^3-1-3(11^2-11)=11^3-3.11^2.1+3.11.1^2-1^3=(11-1)^3=10^3=1000$
tính nhanh phân số: B=3/2+3/4+3/8+3/16+3/32+3/64+3/128
b:3=1/2+1/4+1/8+1/16+1/32+1/64+1/128
[b:3]x2=1+1/2+1/4+1/8+1/16+1/32+1/64
[b:3]x2-[b:3]=1+1/2+1/4+1/8+1/16+1/32+1/64-1/2+1/4+1/8+1/16+1/32+1/64+1/128
b:3=1-1/128
b:3=127/128
b=127/128x3
b=381/128
B.2=\(3+\frac{3}{2}+\frac{3}{4}+\frac{3}{8}+\frac{3}{16}+\frac{3}{32}+\frac{3}{64}\)\(+\frac{3}{128}\)
B.2-B=\(\left(3+\frac{3}{2}+\frac{3}{4}+\frac{3}{8}+\frac{3}{16}+\frac{3}{32}+\frac{3}{64}+\frac{3}{128}\right)\).\(\left(\frac{3}{2}+\frac{3}{4}+\frac{3}{8}+\frac{3}{16}+\frac{3}{32}+\frac{3}{64}+\frac{3}{128}\right)\)
B=3-\(\frac{3}{128}\)
B=\(\frac{381}{128}\)
b:3=1/2+1/4+1/8+1/16+1/32+1/64+1/128
[b:3]x2=1+1/2+1/4+1/8+1/16+1/32+1/64
[b:3]x2-[b:3]=1+1/2+1/4+1/8+1/16+1/32+1/64-1/2+1/4+1/8+1/16+1/32+1/64+1/128
b:3=1-1/128
b:3=127/128
b=127/128x3
b=381/128
cho mình
Tính nhanh :
B=3/2 + 3/4 +3/8 +3/16 +3/32 +3/64 +3/128
Tính nhanh B,biết:
B = \(\frac{3}{3\cdot5}+\frac{3}{5\cdot7}+...+\frac{3}{47\cdot49}\)
Ai nhanh và đúng nhất sẽ được tick
\(B=\frac{3}{3.5}+\frac{3}{5.7}+...+\frac{3}{47.49}\)
\(\Rightarrow B=\frac{3}{2}\left(\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+...+\frac{1}{47}+\frac{1}{49}\right)\)
\(\Rightarrow B=\frac{3}{2}\left(\frac{1}{3}-\frac{1}{49}\right)\)
\(\Rightarrow B=\frac{1}{2}-\frac{1}{98}\)
\(\Rightarrow B=\frac{24}{49}\)
B = \(\frac{3}{3.5}+\frac{3}{5.7}+...+\frac{3}{47.49}\)
B = \(\frac{1}{3}.\left(\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+...+\frac{1}{47}-\frac{1}{49}\right)\)
B = \(\frac{1}{3}.\frac{46}{147}\)
B = \(\frac{46}{441}\)
Giúp mình với , mình cần gấp :
a) Tính nhanh :
A = 1/3 - 3/4 - ( - 3/5 ) + 1/72 -2/9 - 1/36 +1/15
b) Tính nhanh :
B = 1/5 - 3/7 + 5/9 - 2/11 + 7/13 - 2/11 - 5/9 + 3/7 - 1/5
c) Tính nhanh :
C = 1/100- 1/100.99 - 1/99.98 - 1/98.97 - ..............- 1/3.2 -1/2.1
c/
C = 1/100-1/100-1/99-1/99-1/98-1/98-1/97-..........-1/3-1/2-1/2-1/1
C = 1/100-1/100-1/1
C = 0-1/1
C = -1
(6-2/3+1/2) - (5+5/3-3/2) - ( 3-7/3+5/2)
Tính nhanh nha ....tính bằng cách thường thì ko tick
\(\left(6-\frac{2}{3}+\frac{1}{2}\right)-\left(5+\frac{5}{3}-\frac{3}{2}\right)-\left(3-\frac{7}{3}+\frac{5}{2}\right)\)
\(=6-\frac{2}{3}+\frac{1}{2}-5-\frac{5}{3}+\frac{3}{2}-3+\frac{7}{3}-\frac{5}{2}\)
\(=\left(6-5-3\right)+\left(-\frac{2}{3}-\frac{5}{3}+\frac{7}{3}\right)+\left(\frac{1}{2}+\frac{3}{2}-\frac{5}{2}\right)\)
\(=-2+0-\frac{1}{2}\)
\(=-\frac{4}{2}-\frac{1}{2}\)
\(=-\frac{5}{2}\)
tính nhanh a 1/3 + 3/4 + 2/3 + 1/4 b 3/4 + 3/5 + 2 phần 8 + 4/10
a. \(\left(\dfrac{1}{3}+\dfrac{2}{3}\right)+\dfrac{3}{4}=1+\dfrac{3}{4}=\dfrac{7}{4}\)
b. \(\dfrac{3}{4}+\dfrac{3}{5}+\dfrac{2}{8}+\dfrac{4}{10}=\left(\dfrac{3}{4}+\dfrac{2}{8}\right)+\left(\dfrac{3}{5}+\dfrac{4}{10}\right)=1+1=2\)
a ) `1/3 + 3/4 + 2/3 + 1/4 `
`= (1/3 + 2/3 )+ (3/4 + 1/4)`
`= 1 + 1 `
`= 2
b 3/4 + 3/5 + 2 phần 8 + 4/10`
`= (3/4 + 2/8 ) + ( 3/5 + 4/10 ) `
`= 1 + 1 `
`= 2`