(1/1*4+1/4*7+1/7*10+.....+1/97*100)=0,33x/2014
1/(j - 4) + 1/(4 * 7) + 1/(7 * 10) + 1/(10 * 13) +...+ 1 97*100
Có thể đề sẽ là \(\dfrac{1}{1.4}+\dfrac{1}{4.7}+\dfrac{1}{7.10}+\dfrac{1}{10.13}+...+\dfrac{1}{97.100}\\ =\dfrac{1}{3}\left(\dfrac{3}{1.4}+\dfrac{3}{4.7}+\dfrac{3}{7.10}+\dfrac{3}{10.13}+...+\dfrac{3}{97.100}\right)\\ =\dfrac{1}{3}\left(1-\dfrac{1}{4}+\dfrac{1}{4}-\dfrac{1}{7}+\dfrac{1}{7}-\dfrac{1}{10}+\dfrac{1}{10}-\dfrac{1}{13}+...+\dfrac{1}{97}-\dfrac{1}{100}\right)\\ =\dfrac{1}{3}\left(1-\dfrac{1}{100}\right)=\dfrac{1}{3}.\dfrac{99}{100}=\dfrac{33}{100}\)
Tính:
a)1*4*7+4*7*10+7*10*13+....+100*103*106
b)1*4+4*7+7*10+.....+100*103
c)1*1*1+4*4*4+7*7*7+....+99*99*99
d)1*3*3*3+3*5*5*5+5*7*7*7+.....+49*51*51*51
e)1*99+2*98+3*97+......+50*50
f)1*99+3*97+5*95+....+49*51
Giúp mình nhé!
tính nhanh
C= 1/ 2*4 +1/ 4*6 +1/ 6*8 +...+1/ 96*98 +1/ 98*100
1/ 1*4+ 1/4*7 +1/ 7*10 +... 1/ 94*97 +1/ 97*100
ai làm nhanh mình tick nha ok
C= \(\frac{49}{200}\)
D= \(\frac{33}{100}\)
Chúc bạn Hk tốt!!!!
C =1/2*4+1/4*6+1/6*8+...+1/98*100
2xC=2/2*4+2/4*6+2/6*8+...+2/98*100
2xC=1/2-1/4+1/4-1/6+1/6-1/8+...+1/98-1/100
2xC=1/2-1/100
2xC=49/100
C=49/100:2
C=49/200
Ý B làm tương tự nhưng nhưng cả 2 vế với 3
nha. ^_^ ^_^ ^_^
2/1×4 + 2/4×7 + 2/7×10 +.... + 2/97×100
\(\dfrac{2}{1\times4}+\dfrac{2}{4\times7}+\dfrac{2}{7\times10}+\cdot\cdot\cdot+\dfrac{2}{97\times100}\)
\(=\dfrac{2}{3}\times\left(\dfrac{3}{1\times4}+\dfrac{3}{4\times7}+\dfrac{3}{7\times10}+\cdot\cdot\cdot+\dfrac{3}{97\times100}\right)\)
\(=\dfrac{2}{3}\times\left(1-\dfrac{1}{4}+\dfrac{1}{4}-\dfrac{1}{7}+\dfrac{1}{7}-\dfrac{1}{10}+\cdot\cdot\cdot+\dfrac{1}{97}-\dfrac{1}{100}\right)\)
\(=\dfrac{2}{3}\times\left(1-\dfrac{1}{100}\right)\)
\(=\dfrac{2}{3}\times\dfrac{99}{100}\)
\(=\dfrac{33}{50}\)
#\(Toru\)
1)11-12+13-14+15-16+17-18+19-20+21-22+.........+99-100
2)2-4+6-8+......+1998-2000
3)-1+3-5+7-....+97-99
4)1+2-3-4+.........+97+98-99-100
5)1-2+3-4+.............+99-100
6)1+3-5-7+......+97-98-99+100
7)2100-299-298-..........22-2-1
8)1-4+7-10+........+307-310+313
1*4+4*7+7*10+...+97*100
Đặt A = 1*4+4*7+7*10+...+97*100
=> 7A = 1*4*(7-0) + 7*10*(13 - 6)
2/1×4+2/4×7+2/7×10+... +2/97×100
Ta đặt biểu thức là :
A = 2/1 x 4 + 2/4 x 7 + 2/7 x 10 + ... + 2/97 x 100
A = 2 - 2/4 + 2/4 - 2/7 + 2/7 - 2/10 + ... + 2/97 - 2/100
A = 2 - 2 /100
A = 99/50
Tính
A=1+3+5+...+101
B=1+4+7+10+...+100
C=100-99+98-97+...+2-1
D=1+4+5+9+14+...+60+97
E=1+2-3-4+5+6-7-8+...-299-300+301+302
A = 1 + 3 + 5 + ... + 101
A = ( 101 + 1) x 51 : 2
A = 2061
B = 1 + 4 + 7 + 10 + ...+ 100
B = ( 1 + 100) x 34 :2
B = 1717
E=1+2-3-4+5+6-7-8+...-299-300+301+302
=1+(2-3-4)+5+(6-7-8)+...+(298-299-300)+301+302
=1-5+5-9+...-301+301+302
=1+302=303
C = 100 - 99 + 98 - 97 + ...+ 2 -1
C = ( 100 + 98 + ...+ 2) - (99+97+...+1)
C = (2+100) x 50 : 2 - (1+99) x 50 : 2
C = 2550- 2500
C = 50
E = 1 + 2 - 3 -4 + 5 + 6 - 7 - 8 + ...-299 -300 + 301 + 302
E = 1 + ( 2-3-4+5) + (6-7-8+9) + ...+ ( 298-299-300+301) + 302
E = 1 + 0 + 0 + ...+ 0 + 302
E = 303
A=1-2-3-4=5-6-7-8+9-10-11-12+...+97-98-99-100
B=1+2-3-4+5+6-7-8+....+97+98-99-100
A = 1 - 2 - 3 - 4 + 5 - 6 - 7 - 8 + ........... + 97 - 98 - 99 - 100 (100 số )
A = (1 - 2 - 3 - 4) + (5 - 6 - 7 - 8) + ................ + (97 - 98 - 99 - 100)
(25 cặp , tính bằng cách lấy số cả dãy chia cho số số của mỗi cặp )
A = (-8) . 25
A = -200
A = 1-2 + 3-4 + ......+ 99-100
= ( -1) + ( -1) +....+(-1)
= (-1) x 50
= -50
vì có tấ cả 50 số -1