Question

Evaluate the geometric series. Round to the nearest hundredth. Please help ASAP!!!

Answer 1

Rounded to the nearest hundredth, the answer is 10.67.

Explanation:

To obtain this answer, you have to take the summation from n=1 to n=10 of
`8((1)/(4))^(n-1)` by plugging in n=1 into the equation, then n=2, so on and so forth, all the way up to n=10, and adding those all together. Done by hand, this would look like:

`8((1)/(4))^(1-1)+8((1)/(4))^(2-1)+8((1)/(4))^(3-1)+8((1)/(4))^(4-1)+8((1)/(4))^(5-1)+8((1)/(4))^(6-1)+8((1)/(4))^(7-1)+8((1)/(4))^(8-1)+8((1)/(4))^(9-1)+8((1)/(4))^(10-1)=(approximately) 10.67`