Answer
What are the values of these sums:
(a)
$$
\sum_{k=1}^{5}(k+1)=20
$$
(b)
$$
\sum_{j=0}^{4}(-2)^{j}=11
$$
(c)
$$
\sum_{i=1}^{10}3=30
$$
(d)
$$
\begin{aligned}
& \sum_{i=0}^{8}(2^{j+1}-2^{j})=511
\end{aligned}
$$
Work Step by Step
What are the values of these sums:
(a)
$$
\sum_{k=1}^{5}(k+1)=2+3+4+5+6=20
$$
(b)
$$
\sum_{j=0}^{4}(-2)^{j}=1+\left(-2\right)+4+\left(-8\right)+16=11
$$
(c)
$$
\sum_{i=1}^{10}3=10. 3 =30
$$
(d)
$$
\begin{aligned}
& \sum_{i=0}^{8}(2^{j+1}-2^{j})=\\
&\quad\quad=(2-1)+(4-2)+(8-4)+...+(512-256)=\\
&\quad\quad=-1+512=\\
&\quad\quad=511
\end{aligned}
$$
