Ask your own question, for FREE!
Mathematics 8 Online
OpenStudy (anonymous):

help

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 (:

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):

\[a _{n}=-2\times3^{n-1}\]

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

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

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

OpenStudy (anonymous):

i think its a

OpenStudy (anonymous):

or is that an arithmetic sequence?

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!