Exam 9: Section 2: Infinite Series

Find all values of x for which the series converges.

Find the sum of the convergent series

Match the series with the graph of its sequence of partial sums.

Suppose the annual spending by tourists in a resort city is $100 million. Approximately 75% of that revenue is again spent in the resort city, and of that amount approximately 75% is again spent in the same city, and so on. Summing all of this spending indefinitely, leads to the geometric series . Find the sum of this series.

Find the sum of the convergent series.

True or false. The infinite series .

Write the repeating decimal as a geometric series.

Match the series with the graph of its sequence of partial sums.

True or false. The series is convergent.

Suppose you go to work at a company that pays $0.08 for the first day, $0.16 for the second day, $0.32 for the third day, and so on. If the daily wage keeps doubling, what would your total income be for working 29 days? Round your answer to two decimal places.

Find the sum of the convergent series.

Find the sum of the convergent series .

Match the series with the graph of its sequence of partial sums.

Suppose the annual spending by tourists in a resort city is $100 million. Approximately 90% of that revenue is again spent in the resort city, and of that amount approximately 90% is again spent in the same city, and so on. Write the expression that gives the total amount of spending generated by the $100 million after n years.

Write the first five terms of the sequence of partial sums.

Write the first five terms of the sequence of partial sums.

Write the first five terms of the sequence of partial sums.

Determine the convergence or divergence of the series.

Suppose a ball is dropped from a height of 16 feet. Each time it drops h feet, it rebounds 0.85h feet. Find the total distance traveled by the ball. Round your answer to two decimal places.

True or false. The series is divergent.