1+1/2(1+2)+1/3(1+2+3)+.....+
1/97(1+2+3+...+97)
(1+97)*(1+97/2)*(1+97/3)*(1+97/4)... ... ...(1+97/99)
(1+99)*(1+99/2)*(1+99/3)*(1+99/4)... ... ...(1+99/97)
cho B=1*98+2*97+3*6+..+2*97+1*98/1*2+2*3+3*4+97*98+98*99
tinh tong gia tri bieu thuc :
a)A=1+1/3+1/5+...+1/97+1/99/1/1*99+1/3*97+1/5*95+...+1/97*3+1/99*1
b)B=1/2+1/3+1/4+...+1/100/99/1+98/2+97/3+...+1/99
Tính tổng
1,A=a1+a2+...+an với ai-ai-1=k
2,B=1/1*2*3+1/2*3*4+...+1/48*49*50
3,C=1+1/3+1/5+...+1/97+1/99
/
1/1*99+1/3*97+...+1/97*3+1/99*1
Chứng minh rằng : A=1×98+2×97+3×96+. . . . .+96×3+97×2+98×1/1×2+2×3+3×4+. . . . .+96×97+97×98+98×99=1/2
Ai giải ra nhanh và sớm nhất mk sẽ tk cho 5 tk lun
Thank you very good!
Bạn tìm ở link này nha: https://olm.vn/hoi-dap/tim-kiem?q=+Ch%E1%BB%A9ng+minh+r%E1%BA%B1ng+1.98+2.97+3.96+...+96.3+97.2+98.11.2+2.3+3.4+...+96.97+97.98+98.99+=1/2+&id=517786
1)
-1 +3 -5 +7-.....+97-99
2) 1+2-3-4+...+97+98-99-100
Tính tổng nhaa
Sửa đề: \(-1+3-5+7-...-97+99\)
1) Ta có: \(-1+3-5+7-...-97+99\)
\(=\left(-1+3\right)+\left(-5+7\right)+...+\left(-97+99\right)\)
\(=2+2+...+2=2\cdot50=100\)
2) Ta có: \(1+2-3-4+...+97+98-99-100\)
\(=\left(1+2-3-4\right)+\left(5+6-7-8\right)+...+\left(97+98-99-100\right)\)
\(=\left(-4\right)+\left(-4\right)+...+\left(-4\right)\)
\(=\left(-4\right)\cdot25=-100\)
Bài 1 :Rút gọn A=2^100-2^99+2^97+...+2^2 -2
B=3^100-3^99+3^98-3^97+...+3^@ +1
bài 2:
Cho C =1/3+1/3^2+1/3^3+...=1/3^99
CMR C<1/2
C = 1/3 + 1/3^2 + 1/3^3 + ... =1/3^99
=> C = 1/3^99 = 1/(3^99)
=> C < 1/2 (đpcm)
2A=2^101-2^100+2^98+...+2^3-2^2
3A = 2A + A
3A = 2^101 - 2 ( Cứ tính là ra , âm vs dương triệt tiêu )
A = (2^101-2) :3
B tăng tự
\(H=\frac{\left(1+97\right)\left(1+\frac{97}{2}\right)\left(1+\frac{97}{3}\right)\left(1+\frac{97}{4}\right)+...+\left(1+\frac{97}{99}\right)}{\left(1+99\right)\left(1+\frac{99}{2}\right)\left(1+\frac{99}{3}\right)\left(1+\frac{99}{4}\right)+...+\left(1+\frac{99}{97}\right)}\)
1. 1+ (-2) + 3+ (-4) + . . . +19 + (-20)
2. 1 - 2 + 3- 4 + . . . + 99 - 100
3. -1 + 3 -5 + 7 - . . . +97 - 99
4. 1+ 2 - 3+ 4 + . . . +97 + 98 - 99 - 100
1) 1+(-2)+3+(-4)+...+19+(-20) Tổng trên có : (20-1):1+1=20 ( số hạng )
= [1+(-2)]+[3+(-4)]+...+[19+(-20)] Có 20:2=10 nhóm
= (-1)+(-1)+(-1)+...+(-1) Có 10 số (-1)
=(-1).10=-10