(1/2 +1/3 + 1/4 +....+1/80) x> 1/79 + 2/78 + 3/77 +...+ 78/2 + 79/1)
x1+x2+x3+...............+x80+x81=0
x1+x2=x3+x4=............=x77+x78=x78+x79=x79+x80=x80+x81+x1=1
Tính: a81,a80,a79,a78,a1,a2
tính nhanh:
1 + ( -2 ) + 3 + ( -4 ) + 5 +......77 + ( -78 ) + 79 + (-80 )
nhanh nha mình cần gấp
\(1+\left(-2\right)+3+\left(-4\right)+5+...+77+\left(-78\right)+79+\left(-80\right)\)
\(=\left[1+\left(-2\right)\right]+\left[3+\left(-4\right)\right]+\left[5+\left(-6\right)\right]+...+\left[77+\left(-78\right)\right]+\left[79+\left(-80\right)\right]\)
\(=-1+\left(-1\right)+\left(-1\right)+...+\left(-1\right)\)
Từ 1 -> 80 có số số hạng là: (80-1):1+1=80 số hạng
=> Có 80:2=40 số -1
\(=-1\cdot40=-40\)
Đặt: \(A=1+\left(-2\right)+3+\left(-4\right)+...+77+\left(-78\right)+79+\left(-80\right)\)
\(\Rightarrow A=1-2+3-4+...+77-78+79-80\)
\(\Rightarrow A=-1-1-...-1-1\) ( \(40\)cặp)
\(\Rightarrow A=-1\times40=-41\)
1+(-2)+3+(-4)+5+...+77+(-78)+79+(-80)
=(2-1)+(4-3)+(6-5)+...+(78-77)+(80-79)
=1+1+1+...+1+1
=40.1
=40
1 tính tính
2^78+2^79+2^80) : (2^77+2^76+2^75)
=(278+79+80):(277+76+75)
=2237:2228
=2237-228
=29
=512
Cho a1,a2,....,a80,a81 là số nguyên
Biết a1+a2=a3+a4=a5+a6=.....=a77+a78=a78+a79=a79+a80=a80+a81+a1=1
Tính a81,a80,a79,a78,a1,a2
- Giúp giùm nhaa <3
Bài 1.Tìm các số nguyên n biết 4 là bội của ( n+3)
Bài 2. Tính Tổng
A= 1+2-3-4+5+6-7-8+.....+77+78-79-80
Tính nhanh
a) (2^78+2^79+2^80) : (2^77+2^76+2^75)
b) (5^56+5^7) : (5^49+1)
\(a;\frac{2^{78}+2^{79}+2^{80}}{2^{77}+2^{76}+2^{75}}=\frac{2^{78}\left(1+2+2^2\right)}{2^{75}\left(1+2+2^2\right)}=2^3=8\)
b) \(\frac{5^{56}+5^7}{5^{49}+1}=\frac{5^7\left(5^{49}+1\right)}{5^{49}+1}=5^7\)
(2^78+2^79+2^80):(2^77+2^76+2^75) = ?
\(\left(2^{78}+2^{79}+2^{80}\right):\left(2^{77}+2^{76}+2^{75}\right)=\left(2^{78}.7\right):\left(2^{75}.7\right)=2^{78}:2^{75}=8\)
BT2: Tính nhanh
9) \(\dfrac{98}{99}+\dfrac{89}{100}+\dfrac{100}{101}.\left(\dfrac{1}{12}-\dfrac{1}{3}+\dfrac{1}{4}\right)\)
10) \(\left(\dfrac{78}{79}+\dfrac{79}{80}+\dfrac{80}{81}\right).\left(\dfrac{1}{5}+\dfrac{1}{6}+\dfrac{3}{10}-\dfrac{2}{3}\right)\)
Giúp mk nha!
9: \(=1-\dfrac{1}{99}+1-\dfrac{1}{100}+\dfrac{100}{101}\cdot\dfrac{1-4+3}{12}=2-\dfrac{199}{9900}=\dfrac{19601}{9900}\)
10: \(=\left(\dfrac{78}{79}+\dfrac{79}{80}+\dfrac{80}{81}\right)\cdot\dfrac{6+5+9-20}{30}=0\)
tính C= (31/93 +31/78+31/79+31/80+31/95) / (1+93/78+93/79+93/80+93/95)