Topic Test Answers

Find the missing terms in the following geometric sequence.

Find the sum of the first 70 terms of the sequence –6, –3, 0, 3, 6, ...

Leticia Cox is a biochemist. She is testing two different types of drugs that induce cell growth. She has selected two cultures of 1000 cells each. To culture A, she administers a drug that raises the number of cells by 200 each day and every day thereafter. Culture B gets a drug that increases cell growth by 8% each day and every day thereafter.Assuming no cells die, how many cells will have grown in each culture by the end of the seventh day?

Express the series using sigma notation. 10 + 50 + 250 + 1250.a.c.b.d.

Find the 4th term of the expansion of (a - )8.

Find the ninth term of the sequence , , 2, ....a.c.20b.16d.48

Antonio has found that he can input statistical data into his computer at the rate of 2 data items faster each half hour he works. One Monday, he starts work at 9:00A.M., inputting data at a rate of 3 data items per minute. At what rate will Antonio be inputting data into the computer by lunchtime (noon)?

Use the ratio test to determine whether the series is convergent or divergent.

Form a sequence that has two arithmetic means between -1 and 59.

Use the comparison test to determine whether the series + + ... is convergent or divergent.

A radio station advertises a contest with ten cash prizes totaling $5510. There is to be a $100 difference between each successive prize. Find the amounts of the least and greatest prizes the radio station will award.

At the 1998 Winter X-Games held in Crested Butte, Colorado, Jennie Waara, from Sweden, won the women’s snowboarding slope-style competition. Suppose that in one of the qualifying races, Ms. Waara traveled 5 feet in the first second, and the distance she traveled increased by 7 feet each subsequent second. If Ms. Waara reached the finish line in 15 seconds, how far did she travel?

Find the sum of the first 6 terms of the series.

Evaluate the limit. .

Determine if the series is convergent or divergent.

Determine the sum of the first 9 terms in the geometric series where and .

Use the Binomial theorem to expand and where possible simplify the expression.a.455c.b.140d.123