Geometric Mean & Series (Quiz 4)

Find the sum of the infinite geometric series -8, 2, 1/2. . . .

• -5/32

• -32/5

• 5/32

• 32/5

It is a number between any two given terms of a geometric sequence.

• common difference

• geometric extremes

• geometric mean

• common ratio

In the geometric sequence -4, 8, -16…. What is the sum of the 6 terms?

• 260/3

• -260/3

• -3/260

• 3/260

What is the sum of the 7 terms in a geometric sequence if the first term is 4 and the common ratio is 3?

• 4237

• 4273

• 4372

• 4327

Insert 2 geometric means between 16 and -2.

• -8, -4

• 8, 4

• -8, 4

• 8, -4

Complete the sequence: 400 __, __, __, 25.

• 200, 100, 50

• 350, 175, 85

• 250, 150, 590

• 300, 200, 100

Nelly started with only two plants in her backyard. After 3 years, she already has 18 different plants. If the total number of plants follows a geometric pattern, how many plants does Nelly have on the second year?

• 6

• 8

• 9

• 12

Find the sum of the first 11 terms of the geometric sequence −4,4,−4 . . .

• -4

• 0

• 4

• 8

Calculate the geometric mean between 2 and 18

• $\frac{1}{6}$

• $6$

• $-6$

• $\pm6$

The sequence 5, 10, 20, 40,... is an example of what kind of sequence.

• arithmetic sequence

• finite geometric sequence

• infinite geometric sequence

• Fibonacci sequence