1/2 + 1/6 + 1/12 + 1/20 + ... + 1/110
Giúp mính với
SOS
Đố ae biết
Nếu: 1+1=3
2+2=6
3+3=12
4+4=20
5+5=30
6+6=42
7+7=56
8+8=82
Hỏi 9+9=?
Mính đố ae trả lời
Tính nhanh : 1/56 + 1/72 + 1/90 + 1/110
Giúp mik vs nhé . Mai mik phải nộp bài rồi
\(\dfrac{1}{56}+\dfrac{1}{72}+\dfrac{1}{90}+\dfrac{1}{110}\)
\(=\dfrac{1}{7\cdot8}+\dfrac{1}{8\cdot9}+\dfrac{1}{9\cdot10}+\dfrac{1}{10\cdot11}\)
\(=\dfrac{1}{7}-\dfrac{1}{8}+\dfrac{1}{8}-\dfrac{1}{9}+\dfrac{1}{9}-\dfrac{1}{10}+\dfrac{1}{10}-\dfrac{1}{11}\)
\(=\dfrac{1}{7}-\dfrac{1}{11}\)
\(=\dfrac{11}{77}-\dfrac{7}{77}\)
\(=\dfrac{4}{77}\)
\(=\dfrac{1}{7.8}+\dfrac{1}{8.9}+\dfrac{1}{9.10}+\dfrac{1}{10.11}=\dfrac{1}{7}-\dfrac{1}{8}+\dfrac{1}{8}-\dfrac{1}{9}+\dfrac{1}{9}-\dfrac{1}{10}+\dfrac{1}{10}-\dfrac{1}{11}\)
\(=\dfrac{1}{7}-\dfrac{1}{11}=\dfrac{11}{77}-\dfrac{7}{77}=\dfrac{4}{77}\)
ai giúp mik với sos sos sos: \(\dfrac{1}{4}\)+\(\dfrac{9}{20}\)
\(\dfrac{1}{4}\)+\(\dfrac{9}{20}\)
=\(\dfrac{5}{20}\)+\(\dfrac{9}{20}\)=\(\dfrac{5+9}{20}\)=\(\dfrac{14}{20}\)=\(\dfrac{7}{5}\)
\(\dfrac{1}{4}+\dfrac{9}{20}=\dfrac{5}{20}+\dfrac{9}{20}=\dfrac{14}{20}=\dfrac{7}{10}\)
Bài tập : Hãy xác định tập hợp sau bằng cách chỉ rõ tính chất đặc trưng của nó .
a. A = { 1 ; 7 ; 13 ; 19 ; 25 ; 37 }
b. B = { 2 ; 6 ; 12 ; 20 ; 30 }
SOS
a) Tính chất đặc trưng:
Các số chia cho 6 dư 1 nhỏ hơn 38
=> \(A=\left\{x\inℕ^∗|x=6k+1,k\inℕ^∗\right\}\)
b) Tính chất đặc trưng
2 = 1 x 2
6 = 2 x 3
12 = 3 x 4
20 = 4 x 5
30 = 5 x 6
=> \(B=\left\{x=n\left(n+1\right)|n\inℕ^∗,n\le5\right\}\)
1.Tính rồi rút gọn
3/5 + 4/6 =
7-1/3 =
5 x 3/8 =
12/35 : 2/5 =
Sos gấp nha
3/5+4/6=3/5+2/3=9/15+10/15=19/15
7-1/3=20/3
5x3/8=15/8
12/35:2/5=12/35x5/2=60/70=6/7
\(\dfrac{3}{5}+\dfrac{4}{6}=\dfrac{3}{5}+\dfrac{2}{3}=\dfrac{19}{15}\)
\(7-\dfrac{1}{3}=\dfrac{20}{3}\)
\(5x\dfrac{3}{8}=\dfrac{15}{8}\)
\(\dfrac{12}{35}:\dfrac{2}{5}=\dfrac{12}{35}x\dfrac{5}{2}=\dfrac{6}{7}\)
so sánh
a)1/2+1/6+1/12+1/20+1/30+1/42 với 60006/70707
b)1/11+1/12+1/13+1/14+.....+1/19+1/20 với 1
c)7/9+8+13 với 8/9+7/13
d)5/6+6/7+7/8+8/5 với 4
2 x X = 3 X x 5 = 1/5 X x 6 = 4 3 x X = 1/3
sos sos
Tìm số nguyên n thoả mãn:\(\dfrac{1}{3}+\dfrac{1}{6}+\dfrac{1}{10}+...+\dfrac{2}{n\left(n+1\right)}=\dfrac{2022}{2023}\) SOS giúp tôi với
Lời giải:
$\frac{1}{3}+\frac{1}{6}+\frac{1}{10}+...+\frac{2}{n(n+1)}=\frac{2022}{2023}$
$\frac{2}{6}+\frac{2}{12}+\frac{2}{20}+....+\frac{2}{n(n+1)}=\frac{2022}{2023}$
$2[\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+....+\frac{1}{n(n+1)}]=\frac{2022}{2023}$
$2[\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+....+\frac{1}{n(n+1)}]=\frac{2022}{2023}$
$2(\frac{1}{2}-\frac{1}{n+1})=\frac{2022}{2023}$
$1-\frac{2}{n+1}=1-\frac{1}{2023}$
$\Rightarrow \frac{2}{n+1}=\frac{1}{2023}$
$\Rightarrow n+1=2.2023=4046$
$\Rightarrow n=4045$
Cho đa thức P(x)=x^4+ax^3 +bx^2+cx+d thỏa mãn P(1)=10; P(2)=20; P(3)=30. Tính P(12)+P(-8)
giải dễ hiểu giùm mính xíu nha!
3/5 + 2/5 : x = 1 1/10
( x - 3/5) x 3/8 - 5/8 = 1/6
1 1/6 - 5/6 : ( x+1/4) = 1/2
SOS
`3/5+2/5:x=1 1/10`
`3/5+2/5:x=11/10`
`2/5:x=11/10-3/5=1/2`
`x=2/5:1/2=4/5`
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`(x-3/5)xx3/8-5/8=1/6`
`(x-3/5)xx3/8=1/6+5/8`
`(x-3/5)xx3/8=4/24+15/24=19/24`
`x-3/5=19/24:3/8=19/9`
`x=19/9+3/5=122/45`
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`1 1/6-5/6:(x+1/4)=1/2`
`7/6-5/6:(x+1/4)=1/2`
`5/6:(x+1/4)=7/6-1/2=2/3`
`x+1/4=5/6:2/3=5/4`
`x=5/4-1/4=4/4=1`