Chapter 11.4, Problem 29E

To determine

To graph: A geometric picture to illustrate why the following property is true, where the terms $a_k\text{and}{\text{b}}_k$ are all positive:

Property: Let ${\displaystyle \sum _{k=1}^{\infty }{a}_k}$ and ${\displaystyle \sum _{k=1}^{\infty }{b}_k}$ be convergent series whose sums are $S$ and $T$, respectively. Then, ${\displaystyle \sum _{k=1}^{\infty }\left(a_k+b_k\right)}$ is a convergent series whose sum is $S+T$.