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marcybaby
Group Title
Find the general term an for the geometric sequence a1=3 and a2=6?
 one year ago
 one year ago
marcybaby Group Title
Find the general term an for the geometric sequence a1=3 and a2=6?
 one year ago
 one year ago

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marcybaby Group TitleBest ResponseYou've already chosen the best response.0
\[a_{1}=3 and a_{2}=6\]
 one year ago

RadEn Group TitleBest ResponseYou've already chosen the best response.0
use the formula : an = a1 r^(n1) with a1 is given 3 and to get the ratio(r), defined r = a2/a1 = 6/3 = 2 therefore, an = a1 * r^(n1) an = 3 * (2)^(n1) dw:1367598379663:dw
 one year ago

marcybaby Group TitleBest ResponseYou've already chosen the best response.0
so that's the answer? @RadEn I'm confused
 one year ago

nincompoop Group TitleBest ResponseYou've already chosen the best response.0
it is not the answer, rather hint as how to solve the problem.
 one year ago

marcybaby Group TitleBest ResponseYou've already chosen the best response.0
ahhh!! i'm so lost and confused!! @nincompoop
 one year ago

waterineyes Group TitleBest ResponseYou've already chosen the best response.1
Can you find here the common ratio "r" ??
 one year ago

waterineyes Group TitleBest ResponseYou've already chosen the best response.1
So, general term can be found as: \[\large \color{green}{a_n = a \cdot r^{n1}}\]
 one year ago

waterineyes Group TitleBest ResponseYou've already chosen the best response.1
a = 3 and r = 2.. Plug in and find..
 one year ago

waterineyes Group TitleBest ResponseYou've already chosen the best response.1
Use that formula,
 one year ago

marcybaby Group TitleBest ResponseYou've already chosen the best response.0
3(2)^n1?
 one year ago

waterineyes Group TitleBest ResponseYou've already chosen the best response.1
Yep, this is the general term you require...
 one year ago

marcybaby Group TitleBest ResponseYou've already chosen the best response.0
okay, but I am stuck here. I dont what is the next step
 one year ago

marcybaby Group TitleBest ResponseYou've already chosen the best response.0
i get 6^n1?
 one year ago

waterineyes Group TitleBest ResponseYou've already chosen the best response.1
Hey, this is the required answer, you can't solve it further..
 one year ago

marcybaby Group TitleBest ResponseYou've already chosen the best response.0
so this cant get be simplified any more?
 one year ago

waterineyes Group TitleBest ResponseYou've already chosen the best response.1
\[\large a_n = 3\cdot (2)^{n1}\]
 one year ago

marcybaby Group TitleBest ResponseYou've already chosen the best response.0
okay... how come tho? 6^n1 looks like an ideal answer to me.
 one year ago

waterineyes Group TitleBest ResponseYou've already chosen the best response.1
You cannot multiply \(3\) with \((2)^{n1}\)
 one year ago

marcybaby Group TitleBest ResponseYou've already chosen the best response.0
ohhhhhhhhhhh!!!!!!!!!! duh!! now i get it! my brain hurts been studing all week.
 one year ago

waterineyes Group TitleBest ResponseYou've already chosen the best response.1
It is okay..
 one year ago

marcybaby Group TitleBest ResponseYou've already chosen the best response.0
thank you for your time and patience
 one year ago

waterineyes Group TitleBest ResponseYou've already chosen the best response.1
You are welcome dear..
 one year ago
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