12.35.F - Quiz: 12.35.M - 12.35.R (Includes Optional Quiz Review Materials)

David gave 10 cents to his daughter on her first birthday. He decided to give her triple the amount on each subsequent birthday. How much money would his daughter have received over a period of 10 years?

$2,952.40

Evaluate the series.

-1275

Identify the 8th term of the geometric sequence in which a3 = 16 and a6 = −128.

-512

Identify the 12th term of the geometric sequence in which a2 = −6 and a6 = −96.

-6144

Identify the geometric mean of 1/3 and 1/27.

1/9

Identify the sum of , if it exists.

2/3

Identify the indicated sum for the geometric series.

211

A company had a profit of $45,000 in its first year of operation. Each successive year, it had a 6% raise in its profit. What would be the total profit of the company over a period of 15 years?

$1,047,418.65

Identify the 8th term of the geometric sequence in which a2 = 768 and a4 = 48

3/16

0.35

35/99

Identify the geometric mean of 10 and 5/8.

5/2

Identify the 11th term of the given geometric sequence.0.005, 0.05, 0.5, 5, 50, ....

50,000,000

Identify the indicated sum for the geometric series.S9 for 3 − 6 + 12 − 24 + .....

513

0.052

52/999

Identify the 7th term of the given geometric sequence.6, 15, 37.5, 93.75,...

NOT 3662.1

Determine whether the given sequence could be geometric, arithmetic, or neither. If possible, identify either the common ratio or the common difference.1/2, 5/4, 2, 11/4, ....

arithmetic; d = 3/4

Determine whether the geometric series 25 − 5 + 1 − 0.2 ... converges or diverges, and identify the sum if it exists.

converges; 125/6

Determine whether the geometric series 192 + 48 + 12 + ... converges or diverges, and identify the sum if it exists.

converges; 256

Determine whether the geometric series 19.2 + 9.6 + 4.8 + ... converges or diverges, and identify the sum if it exists.

converges; 38.4

Determine whether the geometric series 17 + 12.75 + 9.5625 + ... converges or diverges, and identify the sum if it exists.

converges; 68

Determine whether the geometric series 1/54 + 1/9 + 2/3 + 4 + ... converges or diverges, and identify the sum if it exists.

diverges

Determine whether the given sequence could be geometric, arithmetic, or neither. If possible, identify either the common ratio or the common difference.4, 2, 1, 1/2, ....

geometric; r = 1/2

Determine whether the given sequence could be geometric, arithmetic, or neither. If possible, identify either the common ratio or the common difference.−1280, −320, −80, −20, −5, ....

geometric; r = 1/4

Identify a counterexample to disprove n2 ≤ n4, where n is a real number.

n = 1/2

Identify a counterexample to disprove n6 ≥ n4, where n is a real number.

n = 1/2

Identify a counterexample to disprove n3 ≤ 3n2, where n is a real number.

n = 4

Identify a counterexample to disprove 0.5n2 < 2n + 1, where n is a real number.

n = 5

Identify a counterexample to disprove n3 ≥ n2, where n is an integer.

n=-1

Identify a counterexample to disprove 2n > n, where n is a whole number.

n=0

Identify a counterexample to disprove 2n < n2 + 1, where n is a real number.

n=1

Determine whether the given sequence could be geometric, arithmetic, or neither. If possible, identify either the common ratio or the common difference.7, 9, 10, 12, ....

neither

Identify a counterexample to disprove −x ≤ x2, where x is a real number.

x = −1/2

Identify a counterexample to disprove −x ≤ x, where x is an integer.

x=-2

The U.S. Open Women's Singles Championship begins with 128 players. The players compete in this single-elimination tournament until there is 1 winner. How many rounds of matches must be scheduled in order to complete the tournament?

7

Which of the following represents 0.88 as a fraction in simplest form?

8/9

Identify the 8th term of the given geometric sequence.1/2, 2, 8, 32,...

8192

Identify the geometric mean of 9 and 9/4.

9/2