## University Calculus: Early Transcendentals (3rd Edition)

a) $$\sum_{k=1}^{n}8a_{k}=8\sum_{k=1}^{n}a_{k}=8\times0=0$$ b) $$\sum_{k=1}^{n}250b_{k}=250\sum_{k=1}^{n}b_{k}=250\times1=250$$ c) $$\sum_{k=1}^{n}(a_{k}+1)=\sum_{k=1}^{n}a_{k}+\sum_{k=1}^{n}1=0+1(n-1+1)=n$$ d) $$\sum_{k=1}^{n}(b_{k}-1)=\sum_{k=1}^{n}b_{k}-\sum_{k=1}^{n}1=1-1(n-1+1)=1-n$$