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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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  1. 16 May, 08:35
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    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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