Tinh:a)N=1+3^2+...+3^100;b)P=1+5^3+5^6+5^9+...+5^99
tinh:A=1/1^2+1/2^2+1/3^2+...+1/50^2
tinh:A=1+2+22+23+................+260
B=3+33+35+..........................+381
C=23+26+29+.......................+290
D=3100-399+398-..................-3
a) 2.A = 2 + 22 + 23 + ...+ 261
=> 2.A - A = (2 + 22 + 23 + ...+ 261) - (1 + 2 + ...+ 260) = 261 - 1 => A = 261 - 1
b) 32.B = 33 + 35 + 37 + ...+ 383
=> 32.B - B = ( 33 + 35 + 37 + ...+ 383 ) - (3 + 33 + 35 + 37 + ...+ 381) = 383 - 3 => 8B = 383 - 3 => B = (383 - 3)/8
c) 23.C = 26 + 29 + ...+ 293
=> 23.C - C = 293 - 23 => 7.C = 293 - 23 => C = (293 - 23)/7
d) 3.D = 3101 - 3100 + 399 - ....- 32
=> 3.D + D = 3101 - 3 => D= (3101 - 3) /4
tinh:A=1+2-3-4+5+6-7-8+9+....+2006-2007-2008+2009+2010-2011-2012+2013+2014
=1 nhưng mình ko biết trình bày bạn nào làm biết trình bày thì viết hô mình nha ?
\(Tinh:A=\dfrac{\left(\dfrac{2}{3}\right)^3.\left(\dfrac{-3}{4}\right)^2.\left(-1\right)^5}{\left(\dfrac{2}{5}\right)^2.\left(\dfrac{-5}{12}\right)^3}\)
\(\dfrac{\left(\dfrac{2}{3}\right)^3\cdot\left(-\dfrac{3}{4}\right)^2\cdot\left(-1\right)^5}{\left(\dfrac{2}{5}\right)^2\cdot\left(-\dfrac{5}{12}\right)^3}\)\(=\dfrac{\dfrac{2^3\cdot\left(-3\right)^2\cdot\left(-1\right)}{3^3\cdot4^2}}{\dfrac{2^2\cdot\left(-5\right)^3}{5^2\cdot12^3}}\)
\(=\dfrac{\dfrac{2^3\cdot3^2\cdot\left(-1\right)}{3^3\cdot\left(2^2\right)^2}}{\dfrac{2^2\cdot\left(-5\right)^3}{5^2\cdot\left(2^2\cdot3\right)^3}}=\dfrac{\dfrac{2^3\cdot3^2\cdot\left(-1\right)}{3^3\cdot2^4}}{\dfrac{2^2\cdot5^2\cdot\left(-5\right)}{5^2\cdot2^6\cdot3^3}}=\dfrac{\dfrac{-1}{3\cdot2}}{\dfrac{-5}{2^4\cdot3^3}}\)
\(=\dfrac{-\dfrac{1}{6}}{27\cdot16}=-\dfrac{1}{6}:432=-\dfrac{1}{6}\cdot\dfrac{1}{432}=-\dfrac{1}{2592}\)
tinh: a) 5.( -3)2 -14.(-8)+(- 31)
| ||||
b) -31 –{82 – (-17)}
|
Lời giải:
a. $=5.9+112-31=45+112-31=157-31=126$
b. $=-31-82-17=-(31+82+17)=-130$
c. $=6.(-8)+20+12=-48+32=-(48-32)=-16$
d. Trùng với câu b.
giup e voi
cho:a+b+c=a^3+b^3+c^3=1 Tinh:a^2017+b^2017+c^2017
\(Cho:a-b=7.Tinh:A=a.\left(a+2\right)+b.\left(b-1\right)-2ab\) ; \(B=a.\left(a-b\right)-b.\left(a-b+2\right)+2b+3\)
tinh:a)(-29)+61+29-31
b)(131-93-16)-(131-93-4)
c)C=0-1-3-5-7...49-51
a) = -29+29+61-31=30
b) = 131-93-16-131+93+4=12
c) = 0-1-3-5-7-...-49-51=-667
Tinh:A=1/99.97-1/97.95-1/95.93-...-1/5.3-1/3.1