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 2 years ago
The sum of a geometric series is 2044. If the first term is 4 and the common ratio is 2, what is the final term in the sequence?
 2 years ago
The sum of a geometric series is 2044. If the first term is 4 and the common ratio is 2, what is the final term in the sequence?

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Blacksteel
 2 years ago
Best ResponseYou've already chosen the best response.1In a geometric series, the common ratio is the number each term is multiplied by to get the successive term. Hence, this series will be: 4 + 8 + 16 + ... You'll notice that the magnitude of the sum of all previous terms is in fact 4 less than the next term in the sequence (so for example, 4 is 4 less than 8, 4 + 8 = 12 is 4 less than 16, 4 + 8 + 16 = 28 is 4 less than  32, etc) Thus, if the sum of all terms is 2044, the next term in the sequence would have been 2048. Then the last term in the sequence must have been half that, of 1024.
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