Ôn tập toán 6
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B=3/4+8/9+15/16+...+2499/2500. Chứng minh B>48
tính nhanh
A=\(\dfrac{3}{2^2}.\dfrac{8}{3^2}.\dfrac{15}{4^2}...\dfrac{899}{30^2}\)
B=\(\dfrac{8}{9}.\dfrac{15}{16}.\dfrac{24}{25}...\dfrac{2499}{2500}\)
Cho B = \(\frac{3}{4}+\frac{8}{9}+\frac{15}{16}+...+\frac{2499}{2500}\). Chứng minh B không phải là số nguyên.
Tính A = \(\dfrac{8}{9}.\dfrac{15}{16}.\dfrac{24}{25}...\dfrac{2499}{2500}\)
CMR:
a) \(\dfrac{1}{2^2}+\dfrac{1}{4^2}+\dfrac{1}{6^2}+...+\dfrac{1}{100^2}< \dfrac{1}{2}\)
b) \(\dfrac{3}{4}+\dfrac{8}{9}+\dfrac{15}{16}+...+\dfrac{2499}{2500}>48\)
Chứng minh rằng :
a) \(\frac{1}{2^2}+\frac{1}{4^2}+\frac{1}{6^2}+...+\frac{1}{100^2}< \frac{1}{2}\)
b) \(\frac{3}{4}+\frac{8}{9}+\frac{15}{16}+...+\frac{2499}{2500}>48\)
a)P=(1-1/2).(1-1/3).(1-1/4).....(1-1/999).(1-1/1000)
b)A=3/4. 8/9.15/16.....2499/2500
c)B=(22/1.3) . (32/2.4) . (42/3.5)...(502/49.51)
bài 1 :tìm x
a,245-5.(16+x)=140
b,(x-1954).5=50
c,30.(60-x)=30
d,[(250-25):15]:x=(450-60):130
e,x:[(1800+600)]=560:(315-35)
f,x.(x+1)=2+4+6+8+10+.......................+2500
cm 3/4+8/9+15/16+......+9999/10000<99