tính :
A=\(\frac{101+100+99+98+...+3+2+1}{101-100+99-98+...+3-2+1}\)
B=\(\frac{3737\cdot43-4343\cdot37}{2+4+6+...+100}\)
các bạn trả lời giúp mình gấp,sáng thứ 2 mik cần
giải chi tiết hộ mik
Tính:
a) \(A=\frac{101+100+99+98+..+3+2+1}{101-100+99-98+..+3-2+1}\)
b)\(B=\frac{3737\cdot43-4343\cdot37}{2+4+6+...+100}\)
Giải chi tiết nha các bn
bài 1 Tính
a) C =\(\frac{101+100+99+98+....+3+2+1}{101-100+99-98+....+3-2+1}\)
b) D = \(\frac{3737\cdot43-4343\cdot37}{2+4+6+....+100}\)
C = \(\frac{101+100+99+98+...+3+2+1}{101-100+99-98+...+3-2+1}\)
\(C=\frac{\left(101+1\right).101:2}{1+1+...+1+1}\)
\(C=\frac{5151}{51}\)
\(C=101\)
b) \(D=\frac{3737.43-4343.37}{2+4+6+...+100}\)
\(D=\frac{37.101.43-43.101.37}{2+4+6+...+100}\)
\(D=\frac{0}{2+4+6+...+100}\)
\(D=0\)
a) \(C=\frac{101+100+99+98+...+3+2+1}{101-100+99-98...+3-2+1}\)
\(=\frac{\left(101+1\right).\left[\left(101-1\right):1+1\right]:2}{\left(101-100\right)+\left(99-98\right)+\left(3-2\right)+1}\)
\(=\frac{102.101:2}{1+1+...+1}\)
\(=\frac{51.101}{51}\)
\(=101.\)
A= 101+100+99+98+...+3+2+1
_________________________________
101-100-99-98+...+3-2+1
B= 3737×43-4343×37
________________________
2+4+6+...+100
Mik đang cần gấp , mn giúp mik đi , xong mik tick cho😊
A = \(\frac{101+100+99+98+...+3+2+1}{101-100+99-98+...+3-2+1}\)
B =\(\frac{3737\cdot4343\cdot37}{2+4+6+...+100}\)
\(A=\frac{101+100+99+98+...+3+2+1}{101-100+99-98+...+3-2+1}\)
\(A=\frac{\left(\frac{101-1}{1}+1\right)\left(\frac{101+1}{2}\right)}{\left(\frac{101-1}{2}+1\right)\left(\frac{101+1}{2}\right)-\left(\frac{100-2}{2}+1\right)\left(\frac{100+2}{2}\right)}=\frac{101.51}{51.51-50.51}\frac{101.51}{51}=101\)
câu b có nhầm dấu k pn s tử toàn dấu nhân . s k tick cho chị câu a à
Tính:
a, A =\(\frac{101+100+99+98+...+3+2+1}{101-100+99-98+...+3-2+1}\)
b, B = \(\frac{3737.43-4343.37}{2+4+6+...+100}\)
c, D = \(\frac{2^{12}.13+2^{12}.65}{2^{10}.104}+\frac{3^{10}.11+3^{10}.5}{3^9.2^4}\)
(Các bn giải chi tiết giúp mik nha)
b, \(3737.43-4343.37=\left(37.101\right).43-\left(43.101\right).37=0\)
suy ra B = 0
c, \(D=\frac{2^{12}\left(13+65\right)}{2^{10}.104}+\frac{3^{10}\left(11+5\right)}{3^9.2^4}=\frac{2^{12}.78}{2^{10}.104}+\frac{3^{10}.16}{3^9.2^4}\)
\(=\frac{2^{12}.2.39}{2^{10}.2^3.13}+\frac{3^{10}.2^4}{3^9.2^4}=\frac{39}{13}+3=6\)
1/ Tính :
a) A = \(\dfrac{3737\times43-4343\times37}{2+4+6+........+2018}\)
b) B = \(\dfrac{101+100+99+..........+3+2+1}{101-100+99-98+........+3-2+1}\)
P/s : Các bạn giải hộ mình với, trong tối nay nhé !
a) \(A=\dfrac{3737.43-4343.37}{2+4+6+...+2018}\)
\(\Leftrightarrow A=\dfrac{3737.43-43.101.37}{2+4+6+...+2018}\)
\(\Leftrightarrow A=\dfrac{3737.43-43.3737}{2+4+6+...+2018}\)
\(\Leftrightarrow A=\dfrac{0}{2+4+6+...+2018}\)
\(\Leftrightarrow A=0\)
b) \(B=\dfrac{101+100+99+...+3+2+1}{101-100+99-98+...+3-2+1}\)
\(\Leftrightarrow B=\dfrac{\left(101+1\right).101:2}{\left(101+99+97+...+1\right)-\left(100+98+96+...+2\right)}\)
\(\Leftrightarrow B=\dfrac{5151}{\left[\left(101+1\right).51:2\right]-\left[\left(100+2\right).50:2\right]}\)
\(\Leftrightarrow B=\dfrac{5151}{2601-2550}\)
\(\Leftrightarrow B=\dfrac{5151}{51}\)
\(\Leftrightarrow B=101\)
S=1×2+2×3+3×4+4×5+...........+99×100
3S=1×2×3+2×3×(4-1)+3×4×(5-2)+4×5×(6-3)+............+99×100×(101-98)
3S=1×2×3+2×3×4-1×2×3+3×4×5-2×3×4+4×5×6-3×4×5+.............+99×100×101-98×99×100
3S=99×100×101
Tại sao 3S=99×100×101
Các bạn giải thích hộ mình với!
MÌNH CẢM ƠN MỌI NGƯỜI!
A = \(\frac{101+100+99+98+97+...+3+2+1}{101-100+99-98+97-...+3-2+1}\)
Mik đố các bạn làm được :))
Xét tử ta có:
\(101+100+99+98+...........+3+2+1\)
\(=1+2+3+..........+99+100+101\)
\(=\frac{101.102}{2}=5151\)
Xét mẫu ta có:
\(101-100+99-98+.......+3-2+1\)
\(=\left(101-100\right)+\left(99-98\right)+.......+\left(3-2\right)+1\)
\(=1+1+.......+1+1=51\)
\(\Rightarrow A=\frac{5151}{51}=101\)
1:(3737*43-4343*37):(2+4+6+……+2018)
2:(101+100+99+……+2+1):(101-100+99-98+……+3-2+1)
3,
A=333…33*333…33 (mỗi thừa số 50 chữ số3 )
Ai đúng, xong nhanh nhất tích đúng 100% viết nời giải ra nhé!!!!