\(\left(\dfrac{1}{3}+\dfrac{1}{2}\right)^2+\left(\dfrac{99}{100}-5\right)^0-\left|-\dfrac{7}{36}\right|\)
\(=\left(\dfrac{2}{6}+\dfrac{3}{6}\right)^2+1-\dfrac{7}{36}\)
\(=\left(\dfrac{5}{6}\right)^2+1-\dfrac{7}{36}\)
\(=\dfrac{25}{36}+1-\dfrac{7}{36}\)
\(=\dfrac{61}{36}-\dfrac{7}{36}\)
\(=\dfrac{3}{2}\)
cho t =1/7^2 +2/7^3+3/7^4+....+99/7^100 chứng minh t < 1/36
cho t =1/7^2 +2/7^3+3/7^4+....+99/7^100 chứng minh t < 1/36 mình đang cần gấp
Tính \(A=\left(36-\frac{36}{7^{100}}\right):\left(\frac{1}{7^1}+\frac{1}{7^2}+...+\frac{1}{7^{99}}+\frac{1}{7^{100}}\right)\)
Chứng minh rằng:
a. \(\frac{1}{3^2}+\frac{2}{3^3}+\frac{3}{3^4}+\frac{4}{3^5}+...+\frac{99}{3^{100}}+\frac{100}{3^{101}}< \frac{1}{4}\)
b.\(\frac{1}{2}-\frac{1}{4}+\frac{1}{8}-\frac{1}{16}+\frac{1}{32}-\frac{1}{64}< \frac{1}{3}\)
c.\(\frac{1}{3}-\frac{2}{3^2}+\frac{3}{3^3}-\frac{4}{3^4}+...+\frac{99}{3^{99}}-\frac{100}{3^{100}}< \frac{1}{16}\)
d. \(\frac{1}{5^2}-\frac{2}{5^3}+\frac{3}{5^4}-\frac{4}{5^5}+...+\frac{99}{5^{100}}-\frac{100}{5^{101}}< \frac{1}{36}\)
Giúp mình với ạ ! mình đang cần gấp
Rút gọn biểu thức
a) A= 1 - 2 + 3 - 4 + 5 - 6 + 7 - 8 +.....+ 99 - 100
b)B= 1 + 3 - 5 - 7 + 9 + 11 - .... - 397 - 399
c)C=1 - 2 - 3 + 4 + 5 - 6 - 7 + ....... + 97 - 98 - 99 + 100
d)D= 2^2024 - 2^2023 -......- 1
S=1/1*2+1/2*3+1/3*4+...+1/99*100
S=1/1*3+1/3*5+1/5*7+....+1/99*101
a)A=1-2+3-4+...+99-100
b)B=1-2-3+4+5-6-7+...+97-98-99+100
c)C=2100-299s-998-...-22-2-1
giup mik vs a
Tinh:
A=1+5+5^2+...+5^120
B=3^100-3^99+3^98-3^97+...+3^2-3+1
C=1+7+7^2+...+7^2016
D=2^100-2^99+2^98-2^97+...+2^2-2
giup m voi
thanks
1/2 + 2/3 + 3/4 + 4/5 + 5/6 + 6/7 + 7/8 + 8/9 + ........+ 95/96 + 96/97 + 97/98 + 98/99 + 99/100 = ?
tính nhanh (1+2+3+...+99+100).(1/2-1/3-1/7-1/9)(63.1,2-21.3,6)/1-2+3-4+...+99-100
