Bài 1 :
Cho :
A = \(\frac{1}{51}\)+ \(\frac{1}{52}\)+ . . . + \(\frac{1}{100}\)
B = 1 - \(\frac{1}{2}\)+ \(\frac{1}{3}\)- \(\frac{1}{4}\)+ ... + \(\frac{1}{99}\)- \(\frac{1}{100}\)
C = \(\frac{1}{1.2}\)+ \(\frac{1}{3.4}\)+ \(\frac{1}{5.6}\)+ . . . + \(\frac{1}{99.100}\)
So sánh A với B với C
Bài 2 :
Cho :
A = \(\frac{1}{1.2}\)+\(\frac{1}{3.4}\)+ . . . + \(\frac{1}{999.1000}\)
B = \(\frac{1}{501.1000}\)+ \(\frac{1}{502.999}\)+ . . . +\(\frac{1}{999.502}\)+ \(\frac{1}{1000.501}\)
Tính \(\frac{A}{B}\)= ?
Bài 3 : Tính
a) A = \(\frac{3}{4}\).\(\frac{8}{9}\). \(\frac{15}{16}\). ... . \(\frac{9999}{10000}\)
b) B = \(\frac{8}{9}\). \(\frac{15}{16}\). \(\frac{24}{25}\). ... . \(\frac{3599}{3600}\)
Bài 4 :
Cho : A =\(\frac{1}{2}\).\(\frac{3}{4}\). \(\frac{5}{6}\). ... . \(\frac{9999}{10000}\)
B = \(\frac{1}{100}\)
So sánh A và B
