tính nhanh M=1+3+3^2+3^3+...+3^2112/3^2014 -3
1*2*3*...*2015-1*2*3*4*...*2014-1*2*3*...*2013*2014^2 tính nhanh
\(1.2.3....2015-1.2.3....2014-1.2.3....2013.2014^2\)
\(=1.2.3...\left(2014+1\right)-1.2.3...\left(2014+1\right)\)
\(=0\)
bạn làm thế là sai rồi
có 3 con 2014 cơ mà
Tính nhanh
M=1+3+32+33+.......+32012/32014-3
Bài 2112: Tính nhanh :
1/3 + 1/6 + 1/12 + 1/24 + 1/48 + 1/96
Tính nhanh : (1*2)^ -1+(2*3)^-1 + (3*4)^-1 +...+(2014*2015)^-1
1*2)^ -1+(2*3)^-1 + (3*4)^-1 +...+(2014*2015)^-1
1*2)^ -1+(2*3)^-1 + (3*4)^-1 +...+(2014*2015)^-1
1*2)^ -1+(2*3)^-1 + (3*4)^-1 +...+(2014*2015)^-1
ai tích mình mình tích lại
Tính nhanh:1/2*3+1/3*4+1/4*5+.....+1/2014*2015
Ta có :
\(\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+...+\frac{1}{2004.2005}\)
\(=\)\(\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+...+\frac{1}{2004}-\frac{1}{2005}\)
\(=\)\(\frac{1}{2}-\frac{1}{2005}\)
\(=\)\(\frac{2005}{4010}-\frac{2}{4010}\)
\(=\)\(\frac{2003}{4010}\)
Chúc bạn học tốt ~
Gọi \(A=\frac{1}{2\cdot3}+\frac{1}{3\cdot4}+\frac{1}{4\cdot5}+...+\frac{1}{2014\cdot2015}\)
\(A=\frac{1}{2\cdot3}+\frac{1}{3\cdot4}+\frac{1}{4\cdot5}+...+\frac{1}{2014\cdot2015}\)
\(A=\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+...+\frac{1}{2014}-\frac{1}{2015}\)
\(A=\frac{1}{2}-\frac{1}{2015}\)
\(A=\frac{2015}{4030}-\frac{2}{4030}\)
\(A=\frac{2013}{4030}\)
\(\frac{1}{2\cdot3}+\frac{1}{3\cdot4}+\frac{1}{4\cdot5}+...+\frac{1}{2014\cdot2015}\)
\(=\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+...+\frac{1}{2014}-\frac{1}{2015}\)
\(=\frac{1}{2}-\frac{1}{2015}\)Vì \(-\frac{1}{3}+\frac{1}{3}=0;-\frac{1}{4}+\frac{1}{4}=0;...\)
\(=\frac{2015}{4030}-\frac{2}{4030}\)
\(=\frac{2013}{4030}\)
a) cho A=1+2+2^2+2^3+...+2^2013 và B=2^2014. Tính (A-B)^2015.
b) cho M=1+3+3^2+3^3+...+3^2013 và N=\(\frac{3^{2014}}{2}\). Tính (M-N)^26.
Giúp mình với ạ!!!!
Tính tổng:
A= 1+2014^1+2014^2+2014^3+...+2014^2014+2014^2015
B = 3-3^2+3^3+3^4+...+3^100
A = 1 + 2014^1 + 2014^2 + 2014^3 + ... + 2014^2014 + 2014^2015
2014A = 2014^1 + 2014^2 + 2014^3 + 2014^4 + ... 2014^2015 + 2014^2016
2014A - A = ( 2014^1 + 2014^2 + 2014^3 + 2014^4 + .... + 2014^2015 + 2014^2016 ) - ( 1 + 2014^1 + 2014^2 + 2014^3 + ... + 2014^2014 + 2014^2015 )
2013A = 2014^2016 - 1
A = 2014^2016 - 1 / 2013
B = 3 - 3^2 + 3^3 + 3^4 + ... + 3^100 ( đề hơi vui )
3B = 3^2 - 3^3 + 3^4 + 3^5 + ... + 3^101
3B - B = ( 3^2 - 3^3 + 3^4 + 3^5 + ... + 3^101 ) - ( 3 - 3^2 + 3^3 + 3^4 + ... + 3^100 )
2B = ( 3^2 - 3^3 + 3^4 + 3^5 + ... + 3^101 ) - 3 + 3^2 - 3^3 - 3^4 - ... - 3^100
2B = 3^2 - 3^3 + 3^101 - 3 + 3^2 - 3^3
2B = 9 - 27 + 3^101 - 3 + 9 - 27
2B = -18 + 3^101 - 3 + ( -18 )
2B = -39 + 3^101
B = -39 + 3^101 / 2
A = 1 + 2014 + 20142 + 20143 + ... + 20142014 + 20142015
2014A = 2014 + 20142 + 20143 + 20144 + ... + 20142015 + 20142016
2014A - A = ( 2014 + 20142 + 20143 + 20144 + ... + 20142015 + 20142016 ) - ( 1 + 2014 + 20142 + 20143 + ... + 20142014 + 20142015 )
2013A = 20142016 - 1
A \(=\frac{2014^{2016}-1}{2013}\)
B = 3 - 32 + 33 - 34 + ... + 3100
3B= 32 - 33 + 34 - 35 + ... + 3101
3B + B = ( 3 - 32 + 33 - 34 + ... + 3100 ) + ( 32 - 33 + 34 - 35 + ... + 3101 )
4B = 3 + 3101
B = \(\frac{3+3^{101}}{4}\)
1)tính nhanh
1990 x 1990 - 1992 x 1998
2)tính nhanh
a) 333...3(2014 c/s) x 333...3(2014 c/s)
b) 333...3(2014c/s) x 666...6(2014 c/s)
c) 666...6(2014 c/s) x 666...6(2014 c/s)
Tính nhanh (1/1):2+(1/2):3+1/3:4+...+(1/2012):2013+(1/2013):2014
Ta có:
\(=\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+...+\frac{1}{2013.2014}\)
Ta thấy :
\(\frac{1}{1.2}=\frac{1}{1}-\frac{1}{2}\)
\(\frac{1}{2.3}=\frac{1}{2}-\frac{1}{3}\)
\(...\)
\(\frac{1}{2013.2014}=\frac{1}{2013}-\frac{1}{2014}\)
Ta có:
\(=\frac{1}{1}-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+...+\frac{1}{2013}-\frac{1}{2014}\)
\(=1-\frac{1}{2014}\)
\(=\frac{2013}{2014}\)
mãi k có ai trả lời ai piết thỳ làm hộ nha đang cần gấp