15.(2022•沙河口区校级模拟)已知函数f(x)=13x3+4xf(x)=\frac{1}{3}x^{3}+4xf(x)=31x3+4x,记等差数列{an}\{a_{n}\}{an}的前nnn项和为SnS_{n}Sn,若f(a1+2)=100f(a_{1}+2)=100f(a1+2)=100,f(a2022+2)=−100f(a_{2022}+2)=-100f(a2022+2)=−100,则S2022=(S_{2022}=(S2022=( )))