The sum of the following series \(1+6+\frac{9\left( {{1}^{2}}+{{2}^{2}}+{{3}^{2}} \right)}{7}+\frac{12\left( {{1}^{2}}+{{2}^{2}}+{{3}^{2}}+{{4}^{2}} \right)}{9}+\frac{15\left( {{1}^{2}}+{{2}^{2}}+\ldots +{{5}^{2}} \right)}{11}+\cdots\) up to 15 terms is:

• A. 7520
• B. 7510
• C. 7830
• D. 7820