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ad-work [718]
3 years ago
14

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.)
Mathematics
1 answer:
rewona [7]3 years ago
4 0
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
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