Answered

Westonci.ca is the premier destination for reliable answers to your questions, provided by a community of experts. Our Q&A platform provides quick and trustworthy answers to your questions from experienced professionals in different areas of expertise. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

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]

Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.