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I know that graph A fits the geometric sequence of 1/3, but I can't figure out if the other graphs  also follow this patern.

asked Feb 25, 2015 in ALGEBRA 2 by hana_24 Novice

2 Answers

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Step 1:

The geometric sequence of ratio .

The n th term of the geometric series is image, where a is the first term and r  is the common ratio.

Common ratio image.

Here the common ratio is .

n th term of the geometric series with ratio is image.

Consider the graph (A).

The points on the graph (A) are and .

Check the common ratio for each and every point.

Consider the points image.

Here the n th term is 3 and (n - 1)th term is 9 then the common ratio is image.

For the points image, the common ratio is .

For the points , the common ratio is .

So here the graph (A) is the geometric sequence of ratio .

Step 2:

Check for rest of the graphs.

Consider the graph (B).

The points on the graph (B) are and .

Check the common ratio for each and every point.

For the points , the common ratio is .

For the points , the common ratio is image.

For the points , the common ratio is image.

So here the graph (B) is the geometric sequence of ratio .

answered Feb 26, 2015 by Lucy Mentor
edited Feb 26, 2015 by Lucy
0 votes

Step 3:

Consider the graph (C).

The points on the graph (C) are image and image.

Check the common ratio for each and every point.

For the points image, the common ratio is image.

For the points image, the common ratio is image.

For the points image, the common ratio is image.

So here the graph (C) is the geometric sequence of ratio .

Step 4:

Consider the graph (D).

The points on the graph (C) are image and image.

Check the common ratio for each and every point.

For the points image, the common ratio is image.

For the points image, the common ratio is image.

For the points image, the common ratio is image.

So here the graph (D) is not the geometric sequence of ratio .

Graph (A), (B) and (C) are the exponential functions correspond to geometric sequence of ratio .

Graph (A), (B) and (C) are the correct answers.

Solution:

Graph (A), (B) and (C) are the correct answers.

answered Feb 26, 2015 by Lucy Mentor

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