Question

Tìm số nguyên n, biết:

a) 15 + 14 + 13 + .... + n = 0

b) n + (n+1) + (n+3) + ... + 35 = 0

Giúp mình với!!!

Answer 1

\(a,\Leftrightarrow\dfrac{\left(n+15\right)\left(15-n+1\right)}{2}=0\\ \Leftrightarrow\left[{}\begin{matrix}n=-15\\n=14\left(l\right)\end{matrix}\right.\Leftrightarrow n=-15\\ b,\Leftrightarrow\dfrac{\left(35+n\right)\left(35-n+1\right)}{2}=0\\ \Leftrightarrow\left[{}\begin{matrix}n=-35\left(n\right)\\n=34\left(l\right)\end{matrix}\right.\Leftrightarrow n=-35\)