Áp dụng công thức tính dãy số ta có :
\(\frac{\left[\left(x-1\right):3+1\right].\left(x+1\right)}{2}=330\)
\(\Rightarrow\left(\frac{x+1}{3}+1\right).\left(x+1\right)=660\)
\(\Rightarrow\left(\frac{x+4}{3}\right).\left(x+1\right)=660\)
\(\Rightarrow\frac{\left(x+4\right)\left(x+1\right)}{3}=660\)
\(\Rightarrow x.\left(x+1\right)+4.\left(x+1\right)=1980\)
\(\Rightarrow x^2+x+4x+4=1980\)
1+4+7+10+....+x=330
<=> ( x + 1 ) . x : 2 = 330
hoặc x . ( x + 1 ) : 2 = 330