tinh 1*99+2*98+3*97+....+98*2+99*1
Tính \(T=\left(\frac{2}{98}+\frac{3}{97}+...+\frac{99}{1}\right)X\left(\frac{1}{99}+\frac{2}{98}+...+\frac{98}{2}\right)-\left(\frac{1}{99}+\frac{2}{98}+..+\frac{99}{1}\right)X\left(\frac{2}{98}+\frac{3}{97}+...+\frac{98}{2}\right)\)
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:1:99/100:98/99:97/98:....:2/3:1/2
tinh nhanh: 1 + 2 + 3 + ... + 97 + 98 + 99
từ 1 đến 99 có số số hạng là
(99 -1):1+1=99 (số hạng)
tổng dãy số trên là
(99+1)x(99:2)=4950
1 + 2 + 3 + ... + 97 + 98 + 99
=(99+1) x 99 : 2
= 5050
Giải giúp mình nhé:
1. ( 91-99+98)-(-99+98)
2. ( 99-98+97)-(99+97+98)
(91-99+98)-(-99+98)=91-99+98+99-98=91
(99-98+97)-(99+97+98)=99-98+97-99-97-98=(-98)*2=-196
1. (91 - 99 + 98) - (-99 + 98)
= 91 - 99 + 98 + 99 - 98
= (-99 + 99) + (98 - 98) + 91
= 0 + 0 + 91
= 91
2. (99 - 98 + 97) - (99 + 97 + 98)
= 99 - 98 + 97 - 99 - 97 - 98
= (99 - 99) + (97 - 97) + (-98 - 98)
= 0 + 0 + (-196)
= -196
cho B=1*98+2*97+3*6+..+2*97+1*98/1*2+2*3+3*4+97*98+98*99
A=1/2+1/3+1/4+....+1/100
B=99/1+98/2+97/3+....+2/98+1/99
99/1+98/2+97/3+................+2/98+1/99
1/2+1/3+1/4+.......................+1/99+1/100
cho T = 1/2 + 1/3 + 1/4 +....+ 1/99 + 1/100 và M = 1/99 + 2/98 + 3/97 + ...+ 97/3 + 98/2 +99/1
hãy tìm tỉ số T/M
\(\frac{T}{M}=\frac{\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+...+\frac{1}{100}}{\frac{1}{99}+\frac{2}{98}+...+\frac{98}{2}+\frac{99}{1}}\)
Xét M - 99 + 98 = \(\frac{100}{99}+\frac{100}{98}+...+\frac{100}{2}\)
\(\Leftrightarrow M-1=100\left(\frac{1}{2}+\frac{1}{3}+...+\frac{1}{99}\right)\)
\(\Rightarrow M=\frac{100}{100}+100\left(\frac{1}{2}+\frac{1}{3}+...+\frac{1}{99}\right)=100\left(\frac{1}{2}+\frac{1}{3}+...+\frac{1}{100}\right)\)
\(\Rightarrow\frac{T}{M}=\frac{\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+...+\frac{1}{100}}{100\left(\frac{1}{2}+\frac{1}{3}+...+\frac{1}{100}\right)}=\frac{1}{100}\)