Question

[Dương Đức Anh]

Find K such that:

K - 2016 = \(\frac{1+\left(1+2\right)+\left(1+2+3\right)+...+\left(1+2+3+...+2017\right)}{2017\times1+2016\times2+2015\times3+...+2\times2016+1\times2017}\)

Answer 1

[Nguyễn Tuấn Minh]

Tử số bằng mẫu số 

K-2016=1

K=2017

Muốn biết tại sao tử= mẫu thì tích nha

Answer 2

[Vũ Lê Ngọc Liên]

\(K-2016=\frac{1+\left(1+2\right)+\left(1+2+3\right)+...+\left(1+2+3+...+2017\right)}{2017\times1+2016\times2+2015\times3+...+2\times2016+1\times2017}\)

\(K-2016=\frac{1\times2017+2\times2016+3\times2015+...+2017\times1}{2017\times1+2016\times2+2015\times3+...+2017\times1}\)

\(K-2016=1\)

\(\Rightarrow K=1+2016\)

\(\Rightarrow K=2017\)