1/10+1/40+1/88+...+1/(x+2)(x+5)=3/20
Những câu hỏi liên quan
Tìm x, biết:
1/10+1/40+1/88+...+1/[x+2].[x+5]=3/20
Xem chi tiết
1/10+1/40+1/88+...+1/[x+2].[x+5]=3/20
\(\dfrac{1}{10}+\dfrac{1}{40}+\dfrac{1}{88}+...+\dfrac{1}{\left(x+2\right)\left(x+5\right)}=\dfrac{3}{20}\)
\(\Rightarrow\dfrac{1}{2\cdot5}+\dfrac{1}{5\cdot8}+\dfrac{1}{8\cdot11}+...+\dfrac{1}{\left(x+2\right)\left(x+5\right)}=\dfrac{3}{20}\)
\(\Rightarrow\dfrac{1}{3}\cdot\left(\dfrac{3}{2\cdot5}+\dfrac{3}{5\cdot8}+...+\dfrac{3}{\left(x+2\right)\left(x+5\right)}\right)=\dfrac{3}{20}\)
\(\Rightarrow\dfrac{3}{2\cdot5}+\dfrac{3}{5\cdot8}+..+\dfrac{3}{\left(x+2\right)\left(x+5\right)}=\dfrac{9}{20}\)
\(\Rightarrow\dfrac{1}{2}-\dfrac{1}{5}+\dfrac{1}{5}-\dfrac{1}{8}+...+\dfrac{1}{x+2}-\dfrac{1}{x+5}=\dfrac{9}{20}\)
\(\Rightarrow\dfrac{1}{2}-\dfrac{1}{x+5}=\dfrac{9}{20}\)
\(\Rightarrow\dfrac{1}{x+5}=\dfrac{1}{2}-\dfrac{9}{20}\)
\(\Rightarrow\dfrac{1}{x+5}=\dfrac{1}{20}\)
\(\Rightarrow x+5=20\)
\(\Rightarrow x=20-5\)
\(\Rightarrow x=15\)
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TÌM X BIẾT:
1/10+1/40+1/88+...+3/(X+2)x(3X+5)
Tìm x biết:
\(\frac{1}{10}+\frac{1}{40}+\frac{1}{88}+...+\frac{3}{\left(x+2\right)x\left(3x+5\right)}=\frac{3}{20}\)
giải giúp tôi nhé!arigator
\(\text{Ta có: }\frac{3}{2.5}+\frac{3}{5.8}+\frac{3}{8.11}+.....+\frac{3}{\left(x+2\right)\left(x+5\right)}=\frac{3}{20}\)
\(\Rightarrow\frac{1}{2}-\frac{1}{5}+\frac{1}{5}-\frac{1}{8}+.....+\frac{1}{\left(x+2\right)}-\frac{1}{\left(x+5\right)}=\frac{3}{20}\)
\(\Rightarrow\frac{1}{2}-\frac{1}{\left(x+5\right)}=\frac{3}{20}\)
\(\Rightarrow\frac{1}{\left(x+5\right)}=\frac{1}{2}-\frac{3}{20}\)
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Tìm x
a/\(\frac{1}{24.25}+\frac{1}{25.26}+...+\frac{1}{29.30}+x\div\frac{1}{3}=-4\)
b/\(\frac{1}{10}+\frac{1}{40}+\frac{1}{88}+...+\frac{1}{\left(3x+2\right)\left(3x+5\right)}=\frac{3}{20}\)
Tìm x biết 1/10 + 1/40 + 1/88 + ... + 1/(3x + 2)(3x + 5) = 4/25.
Tính (theo mẫu):
Mẫu: 5 x (10 – 4)
Cách 1:
5 x (10 – 4) = 5 x 6 = 30
Cách 2:
5 x (10 – 4) = 5 x 10 – 5 x 4 = 50 – 20 = 30
a) 3 x (20 – 5)
b) 20 x (40 – 1)
Hướng dẫn giải:
a) 3 x (20 – 5)
Cách 1:
3 x (20 – 5) = 3 x 15 = 45
Cách 2:
3 x (20 – 5) = 3 x 20 – 3 x 5 = 60 – 15 = 45
b) 20 x (40 – 1)
Cách 1:
20 x (40 – 1) = 20 x 39 = 780
Cách 2:
20 x (40 – 1) = 20 x 40 – 20 x 1 = 800 – 20 = 780
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Tìm x thuộc Z sao cho 1/10+1/40+1/88+...+1/(3x+2).(3x+5)+ 4/25
(1/22-1)(1/32-1)...(1/92-1) (1/102-1)(40/11 x-20)
=40(x-3)+5
Tính dãy số
a,1/1.4+1/4.7+...+1/91.94
b,2/3.5+2/5.7+...+2/97+99
c,3/10+3/40+3/88+...+3/340
d,1/6+1/12+1/20+1/30+1/42
