Chứng minh rằng:
A = 1/3 + 1/32 + 1/33 + ..........+ 1/399 < 1/2
B = 3/12x 22 + 5/22 x 32 + 7/32 x 42 +............+ 19/92 x 102 < 1
C = 1/3 + 2/32 + 3/33 + 4/34 +.........+ 100/3100 ≤ 0
A)7^8:[2^9-1^18]+7^8.[1^36-5^12]. B)[-0,75-1^4]:(-5)+1^15-(-1^5):(-3)
C)9^10-1^90-1^72-1^56-1^42-1^30-1^20-1^12-1^6-1^2 D)1+1^2.(1+2)+1^3.(1+2+3)+1^4.(1+2+3+4)+...+1^16.(1+2+3+4+...+16)
1,Tìm x, biết:
a, |x|+1/3=4/5
b, |x+2/3|=1/4
c, |x-3/4|-2/3=3/5
d, 1/4+2.|2/3-x|=3/4
e, 16^x:4^x=16
g, (2x+1)^3=-64
h, 2^x/2+4.2^x=72
2,Tính
A=(1/2-1).(1/3-1).(1/4-1).....(1/2015-1)
B=1/1.2+1/2.3+1/3.4+...+1/2014.2015
chứng minh
1/22+1/32+1/42+1/52+...+1/1002 >3/4
Chứng tỏ rằng 1+1/2+1/3+1/4+...+1/62+1/63+1/64>4
thuc hien phep tinh :M=1+1/2(1+2)+1/3(1+2+3)+1/4(1+2+3+4)+...+1/16(1+2+3+...+16)
Tinh hop li:
a.8/9-1/72-1/56-1/42-1/30-1/20-1/12-1/6-1/2
b.(-1/2)-(-3/5)+(-1/9)+1/127-(+7/18)+4/35-(-2/7)
c.3/5+3/11-(-3/7)+(2/97)-1/35-3/4+(-2/7)