So sánh :
a= 2 / 60 x 63 + 2 / 63 x 66 + 2 / 66 x 69 + ........... + 2 / 117 x 120 + 2 / 2011
và b= 5 / 40x 44 + 5 / 44 x 48 + 5 / 48 x 52 + ......... + 5 / 76 x 80 + 5 / 2011
a- Cho A= 1+2+2^2+2^3+...+2^9 và B= 5*2^8. Hãy so sánh A và B
b- So sánh: A= 2/60*63+2/63*66+...+2/117*120+2/2003
B= 5/40*44+5/44*48+...+5/76*80+5/2003
b: \(A=\dfrac{2}{3}\left(\dfrac{1}{60}-\dfrac{1}{63}+\dfrac{1}{63}-\dfrac{1}{66}+...+\dfrac{1}{117}-\dfrac{1}{120}\right)+\dfrac{2}{2003}\)
\(=\dfrac{2}{3}\cdot\dfrac{1}{120}+\dfrac{2}{2003}\)
\(=2\left(\dfrac{1}{360}+\dfrac{1}{2003}\right)\)
\(B=\dfrac{5}{4}\left(\dfrac{1}{40}-\dfrac{1}{44}+\dfrac{1}{44}-\dfrac{1}{48}+...+\dfrac{1}{76}-\dfrac{1}{80}\right)+\dfrac{5}{2003}\)
\(=\dfrac{5}{4}\cdot\dfrac{1}{80}+\dfrac{5}{2003}\)
\(=5\left(\dfrac{1}{320}+\dfrac{1}{2003}\right)\)
Vì 1/360+1/2003<1/320+1/2003
nên A<B
1,So sánh :
a, A=2/60*63+2/63*66+2/66*69+...+2/117*120+2/2011 với B=5/40*44+5/44*48+5/48*52+...+5/76*80+5/2011
b,Cho C=2222...220000...0077777...77.C là số nguyên tố hay hợp số. Biết có 2011 số 2, 2011 số 0, 2011 số 7
2,Cho D=1-2+3-4+.....+99-100
a, D có chia hết cho 2, cho 3, cho 5 không? Vì sao?
b,D có bao nhiêu ước tự nhiên ? Có bao nhiêu ước nguyên?
CỨU!!!!
So sánh A và B biết:
A= 2/60*63+2/63*66+.....+2/117.120+2/2003
B= 5/40*44+5/44*48+.....+5/76*80+5/2003
Ta co
+)A=2/60*63+2/63*66+...+2/117*120+2/2003
A*3/2=3/60*63+3/63*66+...+3/117*120+3/2003
A*3/2=1/60-1/63+1/63-1/66+...+1/117-1/120+3/2003
A*3/2=1/60-1/120+3/2003
A=(1/120+3/2003)*2/3
+)B=5/40*44+5/44*48+...+5/76*80+5/2003
B*4/5=4/40*44+4/44*48+...+4/76*80+4/2003
B*4/5=1/40-1/44+1/44-1/48+...+1/76-1/80+4/2003
B*4/5=1/40-1/80+4/2003
B=(1/80+4/2003)*5/4
Tu tren ta co A=(1/120+3/2003)*2/3
B=(1/80+4/2003)*5/4
Vay A<B(Vi 1/120<1/80;3/2003<4/2003;2/3<5/4)
+)A=2/60*63+2/63*66+...+2/117*120+2/2003
A*3/2=3/60*63+3/63*66+...+3/117*120+3/2003
A*3/2=1/60-1/63+1/63-1/66+...+1/117-1/120+3/2003
A*3/2=1/60-1/120+3/2003
A=(1/120+3/2003)*2/3
+)B=5/40*44+5/44*48+...+5/76*80+5/2003
B*4/5=4/40*44+4/44*48+...+4/76*80+4/2003
B*4/5=1/40-1/44+1/44-1/48+...+1/76-1/80+4/2003
B*4/5=1/40-1/80+4/2003
B=(1/80+4/2003)*5/4
Tu tren ta co A=(1/120+3/2003)*2/3
B=(1/80+4/2003)*5/4
Vay A<B(Vi 1/120<1/80;3/2003<4/2003;2/3<5/4)
C1:Ta co
+)A=2/60*63+2/63*66+...+2/117*120+2/2003
A*3/2=3/60*63+3/63*66+...+3/117*120+3/2003
A*3/2=1/60-1/63+1/63-1/66+...+1/117-1/120+3/2003
A*3/2=1/60-1/120+3/2003
A=(1/120+3/2003)*2/3
+)B=5/40*44+5/44*48+...+5/76*80+5/2003
B*4/5=4/40*44+4/44*48+...+4/76*80+4/2003
B*4/5=1/40-1/44+1/44-1/48+...+1/76-1/80+4/2003
B*4/5=1/40-1/80+4/2003
B=(1/80+4/2003)*5/4
Tu tren ta co A=(1/120+3/2003)*2/3
B=(1/80+4/2003)*5/4
Vay A<B(Vi 1/120<1/80;3/2003<4/2003;2/3<5/4)
C2:
b:
Vì 1/360+1/2003<1/320+1/2003
nên A<B
so sánh:
A=2/60×63+2/63×66+...+2/114×117+2/2003
B=5/40×44+5/44×48+...+5/76×80+5/2003
C=124×(1/1×1985+1/2×1086+...+1/16×2000)
D=1/1×17+1/2×18+...+1/1984×2000
bài đội tuyển đấy
bạn nào làm đc mình tick cho
Pleas! help me!
so sánh:
A=2/60×63+2/63×66+...+2/114×117+2/2003
B=5/40×44+5/44×48+...+5/76×80+5/2003
C=124×(1/1×1985+1/2×1086+...+1/16×2000)
D=1/1×17+1/2×18+...+1/1984×2000
bạn nào làm đc mình tick cho
Pleas! help me!
E = (5/40*44+5/44*48+5/48/52+....+5/76*80)-(2/30*33+2/33*36+2/36*39+....+2/57*60)
E = (5/40*44+5/44*48+5/48*52+....+5/76*80)-(2/30*33+2/33*36+2/36*39+......+2/57*60) = ?
Tính nhanh
a) (45-63+18) x (1+2+3+4+5+6+7+8+9)
b) 60-61+62-63+64-65+66-67+68-69+70
a. (45-63+18) x (1+2+3+4+5+6+7+8+9)
= 0 x (1+2+3+4+5+6+7+8+9) = 0
b. 60-61+62-63+64-65+66-67+68-69+70
= 60 + (-61-69)+(62+68)+(-63-67)+(64+66)-65+70
= 60 + (-130)+130+(-130)+130-65-70
= 60 + (-130+130) + (-130+130)-65+70
= 60 - 65 + 70 = 65
Đặt tính rồi tính:
a) 14 x 6 20 x 5 34 x 7 66 x 6
......... ........... .......... ...........
......... ........... .......... ...........
......... ........... .......... ...........
b) 86 : 2 63 : 3 80 : 4 83 : 4
......... ........... .......... ...........
......... ........... .......... ...........
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