## Quiz 10 :

Sequences, Series and Probability

Question Type

All

Find the sum of the arithmetic sequence that satisfies the stated conditions.

Free

Multiple Choice

Answer:

Answer:

C

Choose question tag

Choose question tag

Choose question tag

Bode's sequence, defined by can be used to approximate distances of planets from the sun. These distances are measured in astronomical units, with 1 AU = 93,000,000 mi. For example, the third term corresponds to earth and the fifth term to the minor planet Ceres. Find the 4th term of the sequence.

Multiple Choice

Answer:

Choose question tag

A rubber ball is dropped from a height of 50 feet. If it rebounds approximately two-thirds the distance after each fall, use an infinite geometric series to approximate the total distance the ball travels.

Multiple Choice

Answer:

Choose question tag

Find the third term of the geometric sequence whose first two terms are 4 and 16.

Multiple Choice

Answer:

Choose question tag

Choose question tag

Choose question tag

Choose question tag

Without expanding completely, find the term in the expansion of the expression that contains .

Multiple Choice

Answer:

Choose question tag

Use the principle of mathematical induction to find the equivalent expression for every positive integer n.

Multiple Choice

Answer:

Choose question tag

Find the third term of the sequence: is the number of decimal places in .

Multiple Choice

Answer:

Choose question tag

Choose question tag

Choose question tag

Choose question tag

Use the principle of mathematical induction to find the factor of the expression. Hint:

Multiple Choice

Answer:

Choose question tag

If seven basketball teams are in a tournament, find the number of different ways that first, second, and third place can be decided, assuming ties are not allowed.

Multiple Choice

Answer:

Choose question tag

Choose question tag

A company is to distribute $29,000 in bonuses to its top five salespeople. The fifth salesperson on the list will receive $4,600, and the difference in bonus money between successively ranked salespeople is to be constant. Find the bonus for each salesperson.

Multiple Choice

Answer:

Choose question tag

Express the sum in terms of n. (Hint: Use the theorem on sums to write the sum as . Next, use the following formulas and the theorem on the sum of a constant.)

Multiple Choice

Answer:

Choose question tag