Question

Cho S = 1-1/2+1/3-1/4+...+1/2011-1/2012+1/2013

       P= 1/1007+1/1008+....+1/2012+1/2013

      Tính : (S - P)^2013

Gắng làm cho mik nhak! MIK đag cần gấp lắm.

Answer 1

\(S=1+\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+...+\frac{1}{2012}+\frac{1}{2013}-2\left(\frac{1}{2}+\frac{1}{4}+\frac{1}{6}+...+\frac{1}{2012}\right)\)

\(S=1+\frac{1}{2}+\frac{1}{3}+...+\frac{1}{2012}+\frac{1}{2013}-1-\frac{1}{2}-\frac{1}{3}-...-\frac{1}{1006}\)

\(S=\frac{1}{1007}+\frac{1}{1008}+...+\frac{1}{2012}+\frac{1}{2013}=P\)

=>(S-P)²⁰¹³=0²⁰¹³=0

Answer 2

cảm ơn pạn nhak Tuấn Minh. Kết bạn nhak.