a)1/2+1/4+1/8 +...+1/256
b)1/3+1/9+1/27+...+1/729
c)1/2x2+1/2x3+1/3x4+...+1/13x14 d)11/15x18+1/18x21+1/21x24+1/87x90
a, A= 9/8x11 + 9/11x14 + 9/ 14x 17 +....+9/ 73x75
b, B= 1/25x27 + 1/ 27x29 + 1/29 x31 +.....+ 1/ 73 x75
c, C= 15/90x94 + 15/94x98 + 15/98x102 +......+15/146x150
d, D= 10/56 + 10/140 + 10/260 +.......+ 10/1400
e, E=6/15x18 + 6/18x21 + 6/21x24 +....+ 6/87x90
Các bạn làm nhanh giúp mình mình đang cần gấp ạ!
a) A = 9/8.11 + 9/11.14 + 9/14.17 + ... + 9/73.75
A = 3.(1/8 - 1/11 + 1/11 - 1/14 + 1/14 - 1/17 + ... + 1/73 - 1/75)
A = 3.(1/8 - 1/75)
A = 3.67/600
A = 67/200
Các bài sau làm tương tự, riêng câu D thì phân tích ra
Mình chỉ làm hộ bạn câu a) thôi nhé vì đề sàn sàn giống nhau :
a) \(A=\frac{9}{8×11}+\frac{9}{11×14}+\frac{9}{14×17}+...+\frac{9}{73×75}\)
\(A=\frac{9}{8}-\frac{9}{11}+\frac{9}{11}-\frac{9}{14}+\frac{9}{14}-\frac{9}{17}+...+\frac{9}{73}-\frac{9}{75}\)
\(A=\frac{9}{8}-\frac{9}{75}\)
\(A=\frac{675}{600}-\frac{72}{600}\)
\(A=\frac{673}{600}\)
Vậy,...
Cbht
\(d,D=\frac{10}{56}+\frac{10}{140}+\frac{10}{260}+...+\frac{10}{1400}\)
\(10D=\frac{1}{7\cdot8}+\frac{1}{2\cdot70}+\frac{1}{2\cdot130}+...+\frac{1}{2\cdot700}\)
\(10D=\frac{1}{7}-\frac{1}{8}+\frac{1}{2}-\frac{1}{70}+\frac{1}{2}-\frac{1}{130}+...+\frac{1}{2}-\frac{1}{700}\)
\(10D=\frac{1}{7}-\frac{1}{700}\)
\(10D=\frac{99}{700}\)
\(D=\frac{99}{700}:10\)
\(D=\frac{99}{7000}\)
a, A= 9/8x11 + 9/11x14 + 9/ 14x 17 +....+9/ 73x75
b, B= 1/25x27 + 1/ 27x29 + 1/29 x31 +.....+ 1/ 73 x75
c, C= 15/90x94 + 15/94x98 + 15/98x102 +......+15/146x150
d, D= 10/56 + 10/140 + 10/260 +.......+ 10/1400
e, E=6/15x18 + 6/18x21 + 6/21x24 +....+ 6/87x90
Các bạn làm nhanh giúp mình mình đang cần gấp ạ!
a, A= 9/8x11 + 9/11x14 + 9/ 14x 17 +....+9/ 73x75
b, B= 1/25x27 + 1/ 27x29 + 1/29 x31 +.....+ 1/ 73 x75
c, C= 15/90x94 + 15/94x98 + 15/98x102 +......+15/146x150
d, D= 10/56 + 10/140 + 10/260 +.......+ 10/1400
e, E=6/15x18 + 6/18x21 + 6/21x24 +....+ 6/87x90
Các bạn làm nhanh giúp mình mình đang cần gấp ạ!
Tính nhanh
A) (1 + 1/4) x (1+ 1/5) x(1+ 1/6) x....x (1+ 1/99)
B) 7/ 1x2 + 7/ 2x3 + 7/ 3x4 + ...... + 7/ 13x14
C) A = 1+ 1/3 +1/9 +1/27 + 1/81 +1/243
1. Tính các tổng sau:
a) D= 6/15x18 + 6/18x21 + 6/21x24 + .......... + 6/89x90
b) F= 1/25x27 + 1/27x29 + 1/29x31 + .............+1/73x75
^^^^^^^^^ Các bạn cố gắng giúp mình nha!!!!!!
D=6/15.18+6/18.21+...+6/89.92
D=6(1/15.18+1/18.21+...+1/89.92)
a) 3D=6(1/15-1/18+1/18-1/21+...+1/89-1/92)
3D=6(1/15-1/92)
3D=6.(77/1380)
3D=77/230
D=77/690
b) F=1/25.27+1/27.29+...+1/73.75
2F=2/25.27+2/27.29+..+2/73.75
2F=1/25-1/27+1/27-1/29+...+1/73-1/75
2F=1/25-1/75
2F=2/75
F=1/75
Bài:1
B = 1/3 +1/9 + 1/27 + 1/81 + 1/243 + 1/729
C = 1/3 + 1/9 + 1/27 + 1/81 + ............+ 1/59040
A= 2/3x5 + 2/7x9 + 2/9x11 + 2/11x13 + 2/13x15 + 2/1x2 + 2/2x3 + 2/3x4 + 2/4x5 + .............+ 2/8x9 + 2/9x10
B = 4/3X6 + 4/ 6X9 + 4/ 9X12 + 4/ 12X15 + 4/15x18
C = 1/10 + 1/40 + 1/88 + 1/154 + 1/238 + 1/345
bài:2 .Cho tổng.
S = 4/3X7 + 4/7X11 + 4/11/15 + ..........= 664/ 1995
Tìm số hạng cuối cùng của dãy S
Tổng S có bao nhiêu số hạng
Ta có: \(B=\frac{1}{3}+\frac{1}{9}+\frac{1}{27}+\frac{1}{81}+\frac{1}{243}+\frac{1}{729}\)
\(\Rightarrow B=\frac{1}{3}+\frac{1}{3^2}+\frac{1}{3^3}+\frac{1}{3^4}+\frac{1}{3^5}+\frac{1}{3^6}\)
\(\Rightarrow3B=1+\frac{1}{3}+\frac{1}{3^2}+\frac{1}{3^3}+\frac{1}{3^4}+\frac{1}{3^5}\)
\(\Rightarrow3B-B=\left(1+\frac{1}{3}+\frac{1}{3^2}+\frac{1}{3^4}+\frac{1}{3^5}\right)-\left(\frac{1}{3}+\frac{1}{3^2}+\frac{1}{3^3}+\frac{1}{3^4}+\frac{1}{3^5}+\frac{1}{3^6}\right)\)
\(\Rightarrow2B=1-\frac{1}{3^6}\)
\(\Rightarrow B=\frac{1-\frac{1}{3^6}}{2}\)
tính nhanh:
9/15x18+9/18x21+9/21x24+...+9/87x90
Gọi tổng bằng S
1/9 S=1/15*18+..................+1/87*90
1/9 S=1/15-1/18+1/18-......................-1/90
1/9 S=1/15-1/90
1/9 S=1/18
S=9/18=1/2
tinh cac tong sau:B8=6/15x18+6/18x21+6/21x24+...+6/87x90
B8 = 6/15.18 + 6/18.21 + 6/21.24 + ... + 6/87.90
B8 = 2.(3/15.18 + 3/18.21 + 3/21.24 + ... + 3/87 .90)
B8 = 2.(1/15 - 1/18 + 1/18 -1/21 + 1/21 - 1/24 + ... + 1/87 - 1/90)
B8 = 2.(1/15 - 1/90)
B8 = 2.(6/90 - 1/90)
B8 = 2. 1/18
B8 = 1/9
B = 1/9 : 8
B = 1/72
tính nhanh
a)100-98+96-94+...+4-2
b)1+2-3-4+5+6-7+-8+9+10-11-12+13+2010
c)(864x11-423x4):(432x(3+6+9+...+27-132))
d)1x2+2x3+3x4+...+99x100
e)\(\frac{1+\left(1+2\right)+\left(1+2+3\right)+\left(1+2+3+4\right)+...+\left(1+2+3+...+99\right)}{1x9+2x98+3x97\: +....+99x1}\)
giúp mk với , mk tick cho 3 tick , nha !!!!
a,100-98+96-94+...+4-2
day tren so so so hang la (100-2):2+1=50
Có tất cả số cặp 5:2=25 cap
100-98+96-94+...+4-2=2+2+..+2=2.25=50