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OpenStudy (anonymous):
a geometric sequence has a term of \[a_{4}=-54\] and a common ratio of r=3. what is the rule of the nth term?
OpenStudy (anonymous):
@Data_LG2
OpenStudy (anonymous):
do you want me to write the answers?
OpenStudy (anonymous):
\( \sf \Large a_n = a_1 r^{n-1}\)
OpenStudy (anonymous):
okay (:
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OpenStudy (anonymous):
okay, write the choices so that we can which one is the right one
OpenStudy (anonymous):
*choose
OpenStudy (anonymous):
well i think its b cause it looks like the one you set up, ill show you
OpenStudy (anonymous):
oh lol that's the general rule for geometric sequence
OpenStudy (anonymous):
\[a _{n}=-2\times3^{n-1}\]
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OpenStudy (anonymous):
oh xD
OpenStudy (anonymous):
\(\sf \Large a_n = a_1 r^{n-1}\\-54=a_1(3)^{4-1}\\\Large a_1=\frac{-54}{3^{4-1}}\)
to determine the general formula for the nth term we have to find the first term \(\sf a_1\) by evaluating the formula..
so what you willl get for \(\sf a_1\) ?
OpenStudy (anonymous):
no idea
OpenStudy (anonymous):
what is \(3^{4-1}=3^3\) equal to ?
OpenStudy (anonymous):
27? lol idk
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OpenStudy (anonymous):
yes , -54 divided by 27 ?
OpenStudy (anonymous):
-2
OpenStudy (anonymous):
right so \(\sf a_1 =-2 \)
which means that choice is right ^_^
OpenStudy (anonymous):
thanks (:
OpenStudy (anonymous):
no problem
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OpenStudy (anonymous):
what about this one ,
identify which of the sequences below is a geometric sequence?
a. 2,4,6,8
b. 3,6,18,54
c. 2,6,18,54
d. 2,6,18,36