Đáp án:
Giải thích các bước giải:
a)
1 /1.2.3 = (1/2)(1 /1.2 - 1 /2.3)
1 /2.3.4 = (1/2)(1 /2.3 - 1 /3.4)
....
1 /17.18.19 = (1/2)(1 /17.18 - 1 /18.19)
1 /18.19.20 = (1/2)(1 /18.19 - 1 /19.20)
+----------------
A = (1/2)(1 /1.2 - 1 /19.20) = 189/760
4/1.3.5=1/1.3−1/3.5
4/3.5.7=1/3.5−1/5.7
...
Ta có:
B=9(4/1.3.5+4/3.5.7...+4/25.27.29)
=9(1/1.3−1/3.5+1/3.5−1/5.7...+1/25.27−1/27.29)
=9(1/1.3−1/3.5+1/3.5−1/5.7...+1/25.27−1/27.29)
=9(1/1.3−1/27.29)
=3−1/27.29