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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?
 2 years ago
 2 years 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?
 2 years ago
 2 years ago

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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