Các câu hỏi tương tự
Rút gọn các biểu thức sau:
a) A = 1+1/3^2+1/3^3+...+1/3^n
b) B = 1/2-1/2^2+1/2^3-1/2^4+...+1/2^99-1/2^100
c) C = 3/2^2 x 8/3^2 x 15/4^2 ... 899/30^2
B1
a (1/2+1).(1/3+1).(1/4+1)...(1/99+1)
b (1/2-1).(1/3-1).(1/4-1)...(1/100-1)
c 3/2^2.8/3^3.15/4^4...899/30^2
d(1-1/2).(1-1/3).(1-1/4)...1-1/1999).(1-1/200)
tìm tích
a)(1/2+1).(1/3+1).(1/4+1). .... (1/98+1).(1/99+1)=?
b)(1/2-1).(1/3-1).(1/4-1). ... . (1/99-1).(1/100-1)
a) A=1-2+3-4+5-6+.........+99-100+101
b) B=1+4+5+9+14+......+60+97
c) C=100+98+96+....+2-97-95-.......-1
d) D=1+2-3-4+5+6-7-8+9+10-11-12+.......+299-300+301+302
Tính
A=1+3+5+...+101
B=1+4+7+10+...+100
C=100-99+98-97+...+2-1
D=1+4+5+9+14+...+60+97
E=1+2-3-4+5+6-7-8+...-299-300+301+302
tìm tích:
a,(\(\frac{1}{2}\)+1).(\(\frac{1}{3}\)+1).(\(\frac{1}{4}\)+1)....(\(\frac{1}{99}\)+1)
b,\(\left(\frac{1}{2}-1\right),\left(\frac{1}{3}-1\right).\left(\frac{1}{4}-1\right).....\left(\frac{1}{100}-1\right)\)
c,\(\frac{3}{2^2}.\frac{8}{3^2}.\frac{15}{4^2}....\frac{899}{30^2}\)
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1. Tính A/B, biết rằng:
A= 1/1*300 + 1/2*301 + 1/3*302 +...+ 1/101*400
B= 1/1*102 + 1/2*103 + 1/3*104 +..+ 1/299*400
2. Chứng minh rằng:
100-(1+1/2+1/3+...+1/100) = 1/2+2/3+3/4+..+ 99/100
3. Tính A/B biết rằng:
A= 1/2+1/3+1/4+..+1/200
B= 1/199+2/198+3/197+...+198/2+199/1
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Chứng tỏ
a, 1/2-1/4+1/8-1/16+1/32-1/64<1/3
b, 1/3-2/3^2+3/3^3-4/3^4+...+99/3^99-100/3^100<3/16
c, 1/2.3/4.5/6...9999/10000<1/100
tìm tích:
a) ( 1/2+1)*(1/3+1)*(1/4+1)*....(1/999+1)
b) (1/2-1)*(1/3-1)*(1/4-1)...(1/1000-1)
c) 3/2^2*8/3^2*15/4^2.....99/10^2