1/2×3+1/2×3×4+1/3×4×5+...+1/48×49×50
Tính S/P biết:
S = 1/2 + 1/3 + 1/4 + 1/5 + ... + 1/49 + 1/50
P = 1/49 + 2/48 + 3/47 + ... + 48/2 +49/1
So sánh tổng : S = 1/5 + 1/9 + 1/10 + 1/41 + 1/42 với 1/2
S=
=50/50+50/49+50/48+...+50/2
=50.(1/50+1/49+1/48+...+1/4+1/3+1/2)
=50
P=
P=(1/49+1)+(2/48+1)+...+(48/2+1)+1
P= 50/49+50/48+....+50/2+50/50=1
vậy s/p = 1/50
tính các tổng sau
A=1*2+2*3+3*4+4*5+5*6+6*7...+49*50
B=1*50+2*49+3*48+...+49*2+50*1
1/1*2*3*4+1/2*3*4*5+1/3*4*5*6+...+1/47*48*49*
50
Tính A=1/(1*2*3)+1/(2*3*4)+1/(3*4*5)+...+1/(48*49*50)
Ax2=1x2/1x2x3+1x2/2x3x4+...+1x2/48x49x50
Ax2=1/1x2-1/2x3+1/2x3-1/3x4+...+1/48x49-1/49x50
Ax2=1/1x2-1/49x50
Ax2=1/2-1/2450
Ax2=1225/2450-1/2450
Ax2=1224/2450
A=1224/2450:2
A=1224/2450X1/2
A=1224/4900
A=306/1225
Còn câu trả lời nào khác ko zậy !?!
.....
cho p=1/2+1/3+1/4+…+1/47+1/48+1/49+1/50
q=1/49+2/48+3/49+…47/3+48/2+49/1
tính p/q
1 .2 . 3 + 2 . 3 .4 + 3 . 4. 5 +....... + 48 . 49 .50
Đặt A = 1.2.3 + 2.3.4 + 3.4.5 + ... + 48.49.50
4A = 1.2.3.4 + 2.3.4.4 + 3.4.5.4 + ... + 48.49.50.4
4A = 1.2.3.4 + 2.3.4.(5 - 1) + 3.4.5.(6 - 2) + ... + 48.49.50.(51 - 47)
4A = 1.2.3.4 + 2.3.4.5 - 1.2.3.4 + 3.4.5.6 - 2.3.4.5 + ... + 48.49.50.51 - 47.48.49.50
4A = 48.49.50.51
A = 48.49.50.51 : 4
A = 1499400
1.2.3 + 2.3.4 + 3.4.5 + ... + 48.49.50
Đặt A = 1.2.3 + 2.3.4 + 3.4.5 + ... + 48.49.50
4A = 1.2.3.4 + 2.3.4.4 + 3.4.5.4 + ... + 48.49.50.4
4A = 1.2.3.4 + 2.3.4.(5-1) + 3.4.5.(6-2) + ... + 48.49.50.(51-47)
4A = 1.2.3.4 + 2.3.4.5 - 1.2.3.4 + 3.4.5.6 - 2.3.4.5 + ... + 48.49.50.51 - 47.48.49.50
4A = ( 1.2.3.4 + 2.3.4.5 + 3.4.5.6 + ... + 48.49.50.51 ) - ( 1.2.3.4 - 2.3.4.5 - 47.48.49.50 )
4A = \(\frac{48.49.50.51}{4}\)
A = 1499400
Tính
1)A=1×2×3+2×3×4+.....+48×49×50
2)B=1×2+2×3+3×4+......+49×50
A = 1 × 2 × 3 + 2 × 3 × 4 + .....+ 48 × 49 × 50
ta có 4 x A = 1 x 2 x 3 x 4 + 2 x 3 x 4 x (5 -1) + .....+ 48 × 49 × 50 x (51 - 47)
= 1 x 2 x 3 x 4 + 2 x 3 x 4 x 5 - 1 x 2 x 3 x 4 + ... + 48 x 49 x 50 x 51 - 47 x 48 x 49 x 50
= 48 x 49 x 50 x 51
suy ra A = (48 x 49 x 50 x 51) : 4
= 12 x 49 x 50 x 51
nhớ k cho mik nha rùi mik lm nốt cho
A = 1 × 2 × 3 + 2 × 3 × 4 + .....+ 48 × 49 × 50
ta có 4 x A = 1 x 2 x 3 x 4 + 2 x 3 x 4 x (5 -1) + .....+ 48 × 49 × 50 x (51 - 47)
= 1 x 2 x 3 x 4 + 2 x 3 x 4 x 5 - 1 x 2 x 3 x 4 + ... + 48 x 49 x 50 x 51 - 47 x 48 x 49 x 50
= 48 x 49 x 50 x 51
suy ra A = (48 x 49 x 50 x 51) : 4
= 12 x 49 x 50 x 51
S=1/2+1/3+1/4+....+1/49+1/50,P=1/49+2/48+3/47+....+48/2+49/1,hay tim S/P
P = 1/49+2/48+3/47+...+48/2+49/1
Cộng 1 váo mỗi p/s trong 48 p/s đầu , trừ p/s cuối đi 48 ta đượ
P=(1/49+1)+(2/48+1)+...+(48/2+1)+1
P= 50/49+50/48+....+50/2+50/50
Đưa ps cuối lên đầu
P=50/50+50/49+50/48+...+50/2
=50.(1/50+1/49+1/48+...+1/4+1/3+1/2)
=50.S
VậyS/P=1/50
\(\sqrt{1+2+3+4+5+...+48+49+50+49+48+...+2+1}\)= ?