tinh nhanh: B= -1 - 1/2.(1+2) - 1/3.(1+2+3) - 1/4.(1+2+3+4) - ..... - 1/101.(1+2+3+...+101)
tinh -1-1/2(1+2)-1/3(1+2+3)-...-1/101(1+2+3+...+101)
nhanh len nhe hu hu hu
tinh nhanh :A=(1-1/2).(1-1/4).(1-1/90)...(1-1/10000)
B=(1/1*3+1).(1/2*4+1).1/3*5+1)...(1/99*101+1)
A=0/2*0/4*0/90*0/10000
A=
A=0*0*...*0
A=0
tinh nhanh
a) A= 33(1-2/3)(1-2/5)...(1-2/99)
b) B=101+100+99+98+...+3+2+1/101-100+99-98+...+3-2+1
c) C=423134x846267-423133/423133x846267+423134
Bạn giỏi bạn làm đi đã ngu zồi thích tỏ ra minh ngu hơn. Bạn sợ bạn nếu ko nói câu đấy người ta tưởng bạn khôn chắc
CMR:
a)\(\frac{1}{2}+\frac{1}{2^2}+\frac{1}{2^3}+...+\frac{1}{2^7}\) <1
b)\(\frac{1}{3}+\frac{2}{3^2}+\frac{3}{3^3}+\frac{4}{4^4}+....+\frac{101}{3^{101}}\),<3/4
nhanh nhé
a) Ta có
\(A=\frac{1}{2}+\frac{1}{2^2}+...+\frac{1}{2^7}\)
\(2A=1+\frac{1}{2}+...+\frac{1}{2^6}\)
\(2A-A=\left(1+\frac{1}{2}+...+\frac{1}{2^6}\right)-\left(\frac{1}{2}+\frac{1}{2^2}+...+\frac{1}{2^7}\right)\)
\(A=1-\frac{1}{2^7}\)
Do \(1-\frac{1}{2^7}< 1\Rightarrow A< 1\left(đpcm\right)\)
cho a=1/2+1/3+1/4+...+1/108+1/109 va b= 108/1+107/2+106/3+...+2/101+1/108 tinh a/b
Tính
a) (x-1/2)+(x-1/4)+(x-1/8)+...+(x-1/512)
Tìm x
a) (x-1/1×2)+(x-1/2×3)+...+(x-1/100×101)
b) (x-1)+(x-2)+(x-3)+...+(x-101)=5050
c) x+1/2+1/3+1/4+...+1/100=3/2+4/3+5/4++...+101/100
Chứng minh rằng 1/1*2+1/1*2*3+1/1*2*3*4+...+1/1*2*3*4*...*101 < 1
(1/2!+1/3!+1/4!+...+1/101!)
TÍNH:
a)-1-1/2.(1+2)-1/3.(1+2+3)-...-1/101.(1+2+3+...+101)
b) 1/77.7^4.11^2.(77)^4.(1/7^2)^8.(7^8)^3.(-11)^3:(7^15.11^8
c) 1:0.25.(1+1/4)^2+25.[1:(4/3)^2 : (5/4)^3] : [1:(-2/3)^3]
GIÚP MÌNH VỚI
A = 1 . 2 + 2 . 3 + 3 . 4 + ......... + 98 . 99 / 1 + ( 1 + 2 ) + ( 1 + 2 + 3 ) + ........... + ( 1 + 2 + 3 + ...... + 98 )
B = ( 1 / 51 . 52 ) + 1 / 52 . 53 + ...... + 1 / 100 . 101 ) : ( 1 / 1 . 2 + 1 / 2 . 3 + ........ + 1 / 99 . 100 + 1 / 100 . 101