38.
1/(3*4) = 1/3 - 1/4
1/(3*4) + 1/(4*5) + 1/(5*6) + 1/(6*7) = 1/3 - 1/4 + 1/4 - 1/5 + 1/5 - 1/6 + 1/6 - 1/7 = 1/3 - 1/7 = 7/21 - 3/21 = 4/21
Ответ: 4/21
Б) 1/(10*11) + 1/(11*12) + ... + 1/(19*20) =
1/10 - 1/11 + 1/11 - 1/12 + ... + 1/19 - 1/20 =
1/10 - 1/20 = 2/20 - 1/20 = 1/20
Ответ: 1/20