Geometric Sequences

Question 1

Select the sequences that are geometric.

Revolt · Accepted Answer

4.1, 8.2, 16.4, 32.8, …; –7, 14, –28, 56, …; 980, 784, 627.2, 501.76, …

Question 2

Which statements describe characteristics of a geometric sequence? Check all that apply.

Revolt · Accepted Answer

Each term is multiplied by the same number to arrive at the next term.; There is a common ratio between terms.

Question 3

The first four terms of a geometric sequence are 108, 36, 12, 4, …What is the common ratio?

Revolt · Accepted Answer

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Question 4

The 700th term in a geometric sequence is 20. If the common ratio of the sequence is 0.25, what is the 699th term?

Revolt · Accepted Answer

80

Question 5

Given the geometric sequence:–880, –220, –55, …The next term in the sequence is

Revolt · Accepted Answer

-13.75

Question 6

A sequence is defined by the following:What is the 4th term?

Revolt · Accepted Answer

–10.368

Question 7

A sequence is defined by the following: an = 4n – 1What is a1?0✔ 134

Revolt · Accepted Answer

✔ 1

Question 8

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Revolt · Accepted Answer

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Question 9

The fish population in a lake decreases by 2% each year.What is the common ratio?

Revolt · Accepted Answer

0.98

Question 10

What is a8?4847✔ 16,38465,536

Revolt · Accepted Answer

✔ 16,384

Geometric Sequences Answers