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Find the general term an for the geometric sequence a1=3 and a2=6?
 11 months ago
 11 months ago
Find the general term an for the geometric sequence a1=3 and a2=6?
 11 months ago
 11 months ago

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marcybabyBest ResponseYou've already chosen the best response.0
\[a_{1}=3 and a_{2}=6\]
 11 months ago

RadEnBest 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
 11 months ago

marcybabyBest ResponseYou've already chosen the best response.0
so that's the answer? @RadEn I'm confused
 11 months ago

nincompoopBest ResponseYou've already chosen the best response.0
it is not the answer, rather hint as how to solve the problem.
 11 months ago

marcybabyBest ResponseYou've already chosen the best response.0
ahhh!! i'm so lost and confused!! @nincompoop
 11 months ago

waterineyesBest ResponseYou've already chosen the best response.1
Can you find here the common ratio "r" ??
 11 months ago

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

waterineyesBest ResponseYou've already chosen the best response.1
a = 3 and r = 2.. Plug in and find..
 11 months ago

waterineyesBest ResponseYou've already chosen the best response.1
Use that formula,
 11 months ago

waterineyesBest ResponseYou've already chosen the best response.1
Yep, this is the general term you require...
 11 months ago

marcybabyBest ResponseYou've already chosen the best response.0
okay, but I am stuck here. I dont what is the next step
 11 months ago

waterineyesBest ResponseYou've already chosen the best response.1
Hey, this is the required answer, you can't solve it further..
 11 months ago

marcybabyBest ResponseYou've already chosen the best response.0
so this cant get be simplified any more?
 11 months ago

waterineyesBest ResponseYou've already chosen the best response.1
\[\large a_n = 3\cdot (2)^{n1}\]
 11 months ago

marcybabyBest ResponseYou've already chosen the best response.0
okay... how come tho? 6^n1 looks like an ideal answer to me.
 11 months ago

waterineyesBest ResponseYou've already chosen the best response.1
You cannot multiply \(3\) with \((2)^{n1}\)
 11 months ago

marcybabyBest ResponseYou've already chosen the best response.0
ohhhhhhhhhhh!!!!!!!!!! duh!! now i get it! my brain hurts been studing all week.
 11 months ago

marcybabyBest ResponseYou've already chosen the best response.0
thank you for your time and patience
 11 months ago

waterineyesBest ResponseYou've already chosen the best response.1
You are welcome dear..
 11 months ago
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