Question

tinh:(-2)(-3/2)(-4/3)(-5/4)...(-2013/2012)(-2014/2013)

Answer 1

\(-2.\frac{-3}{2}.\frac{-4}{3}.\frac{-5}{4}...\frac{-2013}{2012}.\frac{-2014}{2013}\)

\(=-\left(2.\frac{3}{2}.\frac{4}{3}.\frac{5}{4}...\frac{2013}{2012}.\frac{2014}{2013}\right)\)(vì dãy trên có 2013 thừa số, mỗi thừa số là âm nên kết quả là âm)

\(=-\frac{2.3.4.5...2013.2014}{2.3.4...2012.2013}\)

\(=-2014\)

Answer 2

\(\frac{-2}{1}.\frac{-3}{2}.\frac{-4}{3}.\frac{-5}{4}.....\frac{-2013}{2012}.\frac{-2014}{2013}\)

\(=\frac{-1}{1}.\frac{-1}{1}.\frac{-1}{1}.....\frac{-1}{1}.\frac{-2014}{1}\)

\(=\frac{2014}{1}=2014\)