Answer
a) 0
b) 250
c) n
d) 1-n
Work Step by Step
a) \begin{equation}\sum_{k=1}^{n}8a_{k}=8\sum_{k=1}^{n}a_{k}=8\times0=0\end{equation}
b) \begin{equation}\sum_{k=1}^{n}250b_{k}=250\sum_{k=1}^{n}b_{k}=250\times1=250\end{equation}
c) \begin{equation}\sum_{k=1}^{n}(a_{k}+1)=\sum_{k=1}^{n}a_{k}+\sum_{k=1}^{n}1=0+1(n-1+1)=n\end{equation}
d) \begin{equation}\sum_{k=1}^{n}(b_{k}-1)=\sum_{k=1}^{n}b_{k}-\sum_{k=1}^{n}1=1-1(n-1+1)=1-n\end{equation}
