Tính tổng: S=5/6+11/12+19/20 giai nhanh roi minh tick cho nhe
1) a) 3a - b - 2c = 2 voi b = 6 c= - 1
b) 12-a+b +5c = - 1 voi b = -7 c = 5
c) 1-2b+c - 3a = -9 voi b = - 3 c = -7
lam nhanh cho minh den 1h 20 la minh can roi nhe roi minh tick cho
a) 3a - 6 - 2 . (-1) = 2
3a - 8 = 2
3a = 10
a = 10/3
b) 12 - a + (-7) +5 . 5 = -1
12 - a +18 = -1
12 - a = -19
a = 12 - (-19)
a = 31
c) 1 - 2 . (-3) + (-7) - 3a = -9
0 - 3a = -9
-3a = -9
a = 3
a, Thay b = 6 ; c = -1 vào 3a - b - 2c = 2
Ta có 3a - 6 - 2 x ( - 1 ) = 2
3a - 6 + 2 = 2
3a = 2 + 6 - 2
3a = 6
a = 2
b, Thay b = - 7 ; c = 5 vào 12 - a + b + 5c = -1
Ta có : 12 - a + ( - 7 ) + 5 x 5 = - 1
12 - a - 7 + 25 = -1
30 - a = -1
a = 30 + 1
a = 31
c, Thay b = -3 ;c = -7 vào 1 - 2b + c - 3a = - 9
Ta có : 1 - 2 x ( -3 ) + ( -7 ) - 3a = -9
1 + 6 -7 - 3a = -9
-3a = -9
a = 3
a) 3a-6-2.(-1)=2
3a-8=2
3a=10
a=3/10
b) 12-a+(-7)+5
12-a+18=-19
a=12-(-19)
a=31
c) 1-2.(-3)+(-7)-3a=-9
0 -3a=-9
-3a=-9
a=3
(2/5*7+2/7*9+2/9*11+........+2/19*21)-y:5/2=2/21 cac ban lam giup minh nhe chieu minh thi roi dung thi minh tick cho
\(=>\left(\frac{1}{5}-\frac{1}{7}+\frac{1}{7}-\frac{1}{9}+...+\frac{1}{19}-\frac{1}{21}\right)-y.\frac{2}{5}=\frac{2}{21}\)
\(=>\left(\frac{1}{5}-\frac{1}{21}\right)-y=\frac{2}{21}:\frac{2}{5}\)
\(=>\frac{16}{105}-y=\frac{5}{21}\)
\(=>y=\frac{16}{105}-\frac{25}{105}\)
\(=>y=\frac{-9}{105}=\frac{-3}{35}\)
tính tổng sau :
S=1-5/6+7/12-9/20+11/30-13/42+15/56-17/72+19/90
giúp mình nhanh nha
Tính nhanh:
a) 5/6+11/12+19/20+29/30+41/42+55/56+71/72+89/90
b) Tính tổng của 10 phân số trong phép cộng sau:
1/2+5/6+11/12+19/20+29/30+41/42+55/56+71/7289/90
\(\frac{5}{6}+\frac{11}{12}+\frac{19}{20}+...+\frac{89}{90}\)
\(=1-\frac{1}{6}+1-\frac{1}{12}+1-\frac{1}{20}+...+1-\frac{1}{90}\)
\(=8-\left(\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+...+\frac{1}{90}\right)\)
\(=8-\left(\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+...+\frac{1}{9.10}\right)\)
\(=8-\left(\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+....+\frac{1}{9}-\frac{1}{10}\right)\)
\(=8-\left(\frac{1}{2}-\frac{1}{10}\right)\)
\(=\frac{38}{5}\)
`Answer:`
a) \(\frac{5}{6}+\frac{11}{12}+\frac{19}{20}+\frac{29}{30}+\frac{41}{42}+\frac{55}{56}+\frac{71}{72}+\frac{89}{90}\)
\(=1-\frac{1}{6}+1-\frac{1}{12}+1-\frac{1}{20}+1-\frac{1}{30}+1-\frac{1}{42}+1-\frac{1}{56}+1-\frac{1}{72}+1-\frac{1}{90}\)
\(=8-\frac{1}{6}-\frac{1}{12}-\frac{1}{20}-\frac{1}{30}-\frac{1}{42}-\frac{1}{56}-\frac{1}{72}-\frac{1}{90}\)
\(=8-\left(\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+\frac{1}{30}+\frac{1}{42}+\frac{1}{56}+\frac{1}{72}+\frac{1}{90}\right)\)
\(=8-\left(\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}+\frac{1}{6}-\frac{1}{7}+\frac{1}{7}-\frac{1}{8}+\frac{1}{8}-\frac{1}{9}+\frac{1}{9}-\frac{1}{10}\right)\)
\(=8-\frac{2}{5}\)
\(=\frac{38}{5}\)
b) \(\frac{1}{2}+\frac{5}{6}+\frac{11}{12}+\frac{19}{20}+\frac{29}{30}+\frac{41}{42}+\frac{55}{56}+\frac{71}{72}+\frac{89}{90}\)
\(=1-\frac{1}{2}+1-\frac{1}{6}+1-\frac{1}{12}+1-\frac{1}{20}+1-\frac{1}{30}+1-\frac{1}{42}+1-\frac{1}{56}+1-\frac{1}{72}+1-\frac{1}{90}\)
\(=9-\left(\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+\frac{1}{30}+\frac{1}{42}+\frac{1}{56}+\frac{1}{72}+\frac{1}{90}\right)\)
\(=9-\left(1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}+\frac{1}{6}-\frac{1}{7}+\frac{1}{7}-\frac{1}{8}+\frac{1}{8}-\frac{1}{9}+\frac{1}{9}-\frac{1}{10}\right)\)
\(=9-\left(1-\frac{1}{10}\right)\)
\(=\frac{81}{10}\)
Tính nhanh :
a. 5/6+11/12+19/20+29/30+41/42+55/56+71/72+89/90
b. 1/2+5/6+11/12+19/20+29/30+41/42+55/56+71/72+89/90+109/110
GIÚP MK VỚI AI NHANH MK TICK
a) \(\frac{5}{6}+\frac{11}{12}+\frac{19}{20}+...+\frac{89}{90}\)
\(=1-\frac{1}{6}+1-\frac{1}{12}+...+1-\frac{1}{90}\)
\(=\left(1+1+1+...+1\right)-\left(\frac{1}{6}+\frac{1}{12}+...+\frac{1}{90}\right)\)
\(=\left(1+1+1+...+1\right)-\left(\frac{1}{2\cdot3}+\frac{1}{3\cdot4}+...+\frac{1}{9\cdot10}\right)\)
Từ 2 đến 9 có : ( 9 - 2 ) / 1 + 1 = 8 ( số hạng ) => có 8 số 1
\(\Rightarrow8-\left(\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{9}-\frac{1}{10}\right)\)
\(=8-\left(\frac{1}{2}-\frac{1}{10}\right)\)
\(=8-\frac{2}{5}=\frac{38}{5}\)
b) \(\frac{1}{2}+\frac{5}{6}+\frac{11}{12}+...+\frac{109}{110}\)
\(=1-\frac{1}{2}+1-\frac{1}{6}+...+1-\frac{1}{110}\)
\(=\left(1+1+1+...+1\right)-\left(\frac{1}{2}+\frac{1}{6}+...+\frac{1}{110}\right)\)
\(=\left(1+1+...+1\right)-\left(\frac{1}{1\cdot2}+\frac{1}{2\cdot3}+...+\frac{1}{10\cdot11}\right)\)
Từ 1 đến 10 có : ( 10 - 1 ) / 1 + 1 = 10 ( số hạng ) => có 10 số 1
\(\Rightarrow10-\left(1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+...+\frac{1}{10}-\frac{1}{11}\right)\)
\(=10-\left(1-\frac{1}{11}\right)\)
\(=10-\frac{10}{11}=\frac{100}{11}\)
100/11 nha
Bài 1: Cho tổng
S= 4/3×7 + 4/7×11 + 4/11×15 +...= 664/1995
A, Tìm số hạng cuối cùng của S
B, Tổng S có bao nhiêu số hạng
Bài 2: Tính nhanh
5/6 + 11/12 + 19/20 + 29/30 + 41/42 + 55/56 + 71/72 + 89/90 + 109/110
Tính tổng:5/6+11/12+19/20+...+89/90 (đố ai giải bài này nhanh nhất nha😀)
Bạn ra câu đố mik xin trả lời như sau :
Ta có : A = \(\frac{5}{6}+\frac{11}{12}+\frac{19}{20}+...+\frac{89}{90}\)
A có số các phân số là :
( 89 - 5 ) : 1 + 1 = 85 ( p/số )
Ta có : A = \(\left(1-\frac{5}{6}\right)+\left(1-\frac{1}{12}\right)+\left(1-\frac{1}{20}\right)+...+\left(1-\frac{1}{90}\right)\)
A = \(\left(1+1+1+...+1\right)-\left(\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+...+\frac{1}{90}\right)\)
A = \(\left(1.85\right)-\left(\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+...+\frac{1}{9.10}\right)\)( Có 85 số 1 vì mỗi số 1 đi kèm với 1 phân số mà có 85 phân số)
A = \(85-\left(\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+...+\frac{1}{9}-\frac{1}{10}\right)\)
A = \(85-\left(\frac{1}{2}-\frac{1}{10}\right)\)
A = \(85-\frac{2}{5}\)
A = 85 - 0.4
A = 84,6
Ủng hộ mik nhé ^_^"
5/6 + 11/12 + 19/20 + ... + 89/90
= 1 - 1/6 + 1-1/12 + 1-1/20 + ... + 1-1/90
= 1 - 1/2*3 + 1 - 1/3*4 + 1 - 1/4*5 + ... + 1- 1/9*10
= [1 + 1 + 1 +... + 1] - [1/2*3 + 1/3*4 + 1/4*5 + ... + 1/9*10]
= 8 - [1/2 - 1/3 + 1/3 - 14 + 1/4 - 1/5 + ... + 1/9 - 1/10]
= 8 - [1/2 - 1/10]
= 8 - 2/5
= 38/5
Tính nhanh tổng sau : 1/2+5/6+11/12+19/20+29/30+41/42+55/56+71/72+89/90
\(=\left(1-\dfrac{1}{2}\right)+\left(1-\dfrac{1}{6}\right)+\left(1-\dfrac{1}{12}\right)+...+\left(1-\dfrac{1}{90}\right)\\ =\left(1+1+...+1\right)-\left(\dfrac{1}{2}+\dfrac{1}{6}+...+\dfrac{1}{90}\right)\\ =9-\left(\dfrac{1}{1\cdot2}+\dfrac{1}{2\cdot3}+...+\dfrac{1}{9\cdot10}\right)\\ =9-\left(1-\dfrac{1}{2}+\dfrac{1}{2}-\dfrac{1}{3}+...+\dfrac{1}{9}-\dfrac{1}{10}\right)\\ =9-\left(1-\dfrac{1}{10}\right)=9-\dfrac{9}{10}=\dfrac{81}{10}\)
A=1/2+ 5/6 + 11/12 + 19/20 + 29 30 + 41/42 + 55/56 + 71/72 + 89/90
tinh tong
a=1/2+5/6+11/12+19/20+29/30+41/42+55/56+71/72+89/90
mk dang gap giai nhanh mk tick
\(A=\frac{1}{2}+\frac{5}{6}+\frac{11}{12}+\frac{19}{20}+\frac{29}{30}+\frac{41}{42}+\frac{55}{56}+\frac{71}{72}+\frac{89}{90}\)
\(A=1-\frac{1}{2}+1-\frac{1}{6}+1-\frac{1}{12}+1-\frac{1}{20}+1-\frac{1}{30}+1-\frac{1}{42}+1-\frac{1}{56}+1-\frac{1}{72}+1-\frac{1}{90}\)
\(A=\left(1+1+...+1\right)-\left(\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+...+\frac{1}{72}+\frac{1}{90}\right)\) ( có 8 số 1)
\(A=9-\left(\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+...+\frac{1}{8.9}+\frac{1}{9.10}\right)\)
\(A=9-\left(1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+...+\frac{1}{8}-\frac{1}{9}+\frac{1}{9}-\frac{1}{10}\right)\)
\(A=9-\left(1-\frac{1}{10}\right)=9-1+\frac{1}{10}=8+\frac{1}{10}=8\frac{1}{10}\)