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a) 6B = 2.4.6 + 4.6.(8-2) + 6.8.(10-4) + ... + 18.20.(22-16)
6B = 2.4.6 + 4.6.8 - 2.4.6 + 6.8.10 - 4.6.8 +...+ 18.20.22 - 16.18.20
6B = 18.20.
B = (18.20.22) : 6
B = 1320
Mấy bài kia tương tự, cần giải luôn không bạn? Nhưng hơi mất thời gian
A=1/2.4+1/4.6+........+1/100.102
A=1/2-1/4+1/4-1/6+.......+1/100-1/102
A=1/2-1/102
A=51/102-1/102
A=50/102
A=25/51
a) \(A=2.4+4.6+6.8+...+18.20\)
\(6A=2.4.6+4.6.\left(8-2\right)+6.8.\left(10-4\right)+...+18.20.\left(22-16\right)\)
\(6A=2.4.6+4.6.8-2.4.6+6.8.10-4.6.8+...+18.20.22-16.18.20\)
\(6A=18.20.22\)
\(A=\frac{18.20.22}{6}=\frac{7920}{6}=1320\)
d/ Đặt : A = 1.2 + 2.3 + 3.4 + ......... + 99.100
=> 3A = 1.2.(3 - 0) + 2.3.(4 - 1) + ..... + 99.100.(101 - 98)
=> 3A = 1.2.3 - 1.2.3 + 2.3.4 - 2.3.4 + ..... + 99.100.101
=> 3A = 99.100.101
=> A = 99.100.101 / 3
=> A = 333300
\(S=\frac{1}{2.4}+\frac{1}{4.6}+...+\frac{1}{2018.2020}\)
\(S=\frac{1}{2}\left(\frac{2}{2.4}+\frac{2}{4.6}+...+\frac{2}{2018.2020}\right)\)
\(S=\frac{1}{2}\left(\frac{1}{2}-\frac{1}{4}+\frac{1}{4}-\frac{1}{6}+...+\frac{1}{2018}-\frac{1}{2020}\right)\)
\(S=\frac{1}{2}\left(\frac{1}{2}-\frac{1}{2020}\right)\)
Tự tính
S=1/2.4+1/4.6+1/6.8+...+1/2018.2020
S=1/2.(2/2.4+2/4.6+2/6.8+...+2/2018.2020)
S=1/2.(1-1/4+1/4-1/6+1/6-1/8+...+1/2018-1/2020)
S=1/2.(1-1/2020)
S=1/2.(2020/2020-1/2020)
S=1/2.2019/2020
S=2019/4040
\(S=\frac{1}{2.4}+\frac{1}{4.6}+\frac{1}{6.8}+\frac{1}{8.10}\)
\(S=\frac{1}{2}-\frac{1}{4}+\frac{1}{4}-\frac{1}{6}+\frac{1}{6}-\frac{1}{8}+\frac{1}{8}-\frac{1}{10}\)
\(S=\frac{1}{2}-\frac{1}{10}\)
\(S=\frac{2}{5}\)
\(A=\frac{1}{2}-\frac{1}{4}+\frac{1}{4}-...+\frac{1}{18}-\frac{1}{20}\)
\(A=\frac{1}{2}-\frac{1}{20}\)
\(A=\frac{10}{20}-\frac{1}{20}\)
\(A=\frac{9}{20}\)