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What is the sum of a 7-term geometric series if the first term is 6, the last term is 24,576, and the common ratio is 4?

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remotecontrolbrain

Answer:

The sum is 32766.

Step-by-step explanation:

The 7 terms of the series are as follows:

[tex]n_i = 6\cdot 4^i\,\,\,\mbox{for}\,\,\, i=0,1,...,6[/tex]

namely: 6, 24, 96, 384, 1536, 6144, 24576

and their sum is 32766.

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