Question

[Bibi Thảo Anh]

\(A=\left(1-\frac{1}{4}\right).\left(1-\frac{1}{9}\right).\left(1-\frac{1}{16}\right).......\left(1-\frac{1}{225}\right)\)

\(B=\left(1+\frac{1}{2}\right).\left(1+\frac{1}{3}\right).\left(1+\frac{1}{4}\right)...\left(1+\frac{1}{2015}\right)\)

Answer 1

[Nguyễn Hưng Phát]

Câu A mình làm được nhưng dài quá

B=\(\left(1+\frac{1}{2}\right).\left(1+\frac{1}{3}\right).............\left(1+\frac{1}{2015}\right)\)

=\(\frac{3}{2}.\frac{4}{3}..............\frac{2016}{2015}\)

=\(\frac{3.4...............2016}{2.3................2015}\)

=\(\frac{2016}{2}=1008\)