Find the missing terms of the geometric sequence 480, _, _, ___, 12.288, ... (hint: the geometric mean of the first and fifth terms is the third term.)

Question

Mathematics

York

16 May, 05:22

Find the missing terms of the geometric sequence 480, _, _, ___, 12.288, ... (hint: the geometric mean of the first and fifth terms is the third term.)

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Answers (1)

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Jay Taylor · Answer 1

To solve this problem you must apply the proccedure shown below:

1. You have:

480r^ (5-1) = 12.288

480r^4=12.288

r^4=12.288/480

r = (12.288/480) ^ (1/4)

r=0.4

2. Now, multiply r=0.4 to each term, as below:

480x0.4=192

192x0.4=76.8

76.8x0.4=30.72

30.72x0.4=12.288

Therefore, as you can see, the answer is: 192,76.8,30.72

Find the missing terms of the geometric sequence 480, ___, ___, ___, 12.288, ... (hint: the geometric mean of the first and fifth terms is the third term.)

Find the missing terms of the geometric sequence 480, _, _, ___, 12.288, ... (hint: the geometric mean of the first and fifth terms is the third term.)