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katiebugg
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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?
 one year ago
 one year ago
katiebugg Group Title
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?
 one year ago
 one year ago

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Yahoo! Group TitleBest ResponseYou've already chosen the best response.3
Sn = a[r^n1]/r1
 one year ago

Yahoo! Group TitleBest ResponseYou've already chosen the best response.3
use this and find n
 one year ago

waterineyes Group TitleBest ResponseYou've already chosen the best response.0
Wait @Yahoo!
 one year ago

Yahoo! Group TitleBest ResponseYou've already chosen the best response.3
then an = a*r^(n1)
 one year ago

Yahoo! Group TitleBest ResponseYou've already chosen the best response.3
Why @waterineyes any mistake
 one year ago

waterineyes Group TitleBest ResponseYou've already chosen the best response.0
Sorry my mistake... Ha ha ha..
 one year ago

Yahoo! Group TitleBest ResponseYou've already chosen the best response.3
\[2044 = 4[2^n 1]/(21)\]
 one year ago

Yahoo! Group TitleBest ResponseYou've already chosen the best response.3
511 = 2^n  1 510 = 2^n
 one year ago

rsadhvika Group TitleBest ResponseYou've already chosen the best response.0
\(2044 = 4. \frac{2^{n}1}{21}\) \(2044 = 4. (2^{n}1)\) \(511 = 2^{n}1\) \(512 = 2^{n}\) \(2^9 = 2^{n}\) 9=n
 one year ago

Yahoo! Group TitleBest ResponseYou've already chosen the best response.3
sorry 512 = 2^n
 one year ago

Yahoo! Group TitleBest ResponseYou've already chosen the best response.3
subs in an = a * r^(n1)
 one year ago

waterineyes Group TitleBest ResponseYou've already chosen the best response.0
\[\large 2^n = 512 \implies 2^n = 2^9 \implies \color{green}{n = 9}\]
 one year ago

Yahoo! Group TitleBest ResponseYou've already chosen the best response.3
an = 4 * 2^8
 one year ago

waterineyes Group TitleBest ResponseYou've already chosen the best response.0
you can replace n here by 9 @Yahoo!
 one year ago

Yahoo! Group TitleBest ResponseYou've already chosen the best response.3
256 * 4 = 1024
 one year ago

katiebugg Group TitleBest ResponseYou've already chosen the best response.0
lol thanks!
 one year ago
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