Answered

Westonci.ca is the Q&A platform that connects you with experts who provide accurate and detailed answers. Ask your questions and receive accurate answers from professionals with extensive experience in various fields on our platform. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

Find the the sum for the shown infinite geometric series?
2,2/3, 2/9, ...

Sagot :

aklee18oo

Answer:

3

Step-by-step explanation:

The formula for the sum of an infinite geometric series is

[tex]\frac{a}{1-r}[/tex]

Where a is the first term and r is the common ratio. We can see that the first term is 2, and to find the common ratio, we can divide a term by the one before it. We can get:

[tex]\frac{\frac{2}{3}}{2} =\frac{2}{3} *\frac{1}{2}=\frac{1}{3}[/tex]

Now, we have all the values need to evaluate the formula. We can plug them in:

[tex]\frac{2}{1-\frac{1}{3} } \\\frac{2}{\frac{2}{3} } \\2*\frac{3}{2}\\3[/tex]

We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.