Properties of series Use the properties of infinite series

Chapter 10, Problem 14E

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QUESTION:

9-14. Properties of series Use the properties of infinite series to evaluate the following series.

\(\sum_{k=0}^{\infty} \frac{2-3^{k}}{6^{k}}\)

Questions & Answers

QUESTION:

9-14. Properties of series Use the properties of infinite series to evaluate the following series.

\(\sum_{k=0}^{\infty} \frac{2-3^{k}}{6^{k}}\)

ANSWER:

Problem 14E

Properties of series Use the properties of infinite series to evaluate the following series. .

Solution

Step 1

In this problem we have to evaluateby using the properties of infinite series.

Consider

To evaluate this we will be using the following properties.

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