Tính
100-99+98-97+...+2-1
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
Tính \(T=\left(\frac{2}{98}+\frac{3}{97}+...+\frac{99}{1}\right)X\left(\frac{1}{99}+\frac{2}{98}+...+\frac{98}{2}\right)-\left(\frac{1}{99}+\frac{2}{98}+..+\frac{99}{1}\right)X\left(\frac{2}{98}+\frac{3}{97}+...+\frac{98}{2}\right)\)
b=1*99+2*98+3*97+...+97*2+98*1
Tính:1:99/100:98/99:97/98:....:2/3:1/2
tinh 1*99+2*98+3*97+....+98*2+99*1
1/99 -1/99*98 - 1/98*97 -...-1/2-1
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 = \(\frac{100}{99}+\frac{100}{98}+...+\frac{100}{2}\)
\(\Leftrightarrow M-1=100\left(\frac{1}{2}+\frac{1}{3}+...+\frac{1}{99}\right)\)
\(\Rightarrow M=\frac{100}{100}+100\left(\frac{1}{2}+\frac{1}{3}+...+\frac{1}{99}\right)=100\left(\frac{1}{2}+\frac{1}{3}+...+\frac{1}{100}\right)\)
\(\Rightarrow\frac{T}{M}=\frac{\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+...+\frac{1}{100}}{100\left(\frac{1}{2}+\frac{1}{3}+...+\frac{1}{100}\right)}=\frac{1}{100}\)
1\99*100-1\99*98-1\97*98-................-1\2*1
-1 / 100 . 99 - 1 / 99 . 98 - 1 / 98 . 97 - ... -1 / 3 . 2 - 1 / 2 . 1
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