Question

\(\frac{2}{1.3}+\frac{2}{3.5}+\frac{2}{5.7}+......+\frac{2}{99.101}\) Hãy tính tổng

Answer 1

\(=1-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+...+\frac{1}{99}-\frac{1}{101}\)

\(=1-\frac{1}{101}\)

\(=\frac{100}{101}\)

Answer 2

\(\frac{2}{1.3}+\frac{2}{3.5}+\frac{2}{5.7}+.....+\frac{2}{99.101}\)

=\(2-\frac{2}{3}+\frac{2}{3}-\frac{2}{5}+.....+\frac{2}{99}-\frac{2}{101}\)

=\(2-\frac{2}{101}=\frac{202}{101}-\frac{2}{101}=\frac{200}{101}\)

Answer 3

Yurei Ninja sai rùi

Answer 4

=2/1-2/3+2/3-2/5+2/5-2/7+...+2/99-2/101

=2/1-2/101

=200/101