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OpenStudy (anonymous):
Find an equation for the nth term of the sequence. (1 point)
-3, -12, -48, -192, ...
an = 4 -3n + 1
an = -3 4n - 1
an = -3 4n
an = 4 -3n
6. Find an equation for the nth term of a geometric sequence where the second and fifth terms are -21 and 567, respectively. (1 point)
an = 7 (-3)n + 1
an = 7 3n - 1
an = 7 (-3)n - 1
an = 7 3n
OpenStudy (here_to_help15):
nth?
OpenStudy (anonymous):
oh this is easy
OpenStudy (anonymous):
-3 is the first term in the sequence
OpenStudy (anonymous):
a1=-3
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OpenStudy (anonymous):
an = a1 + (n - 1)d
OpenStudy (anonymous):
n= 4
OpenStudy (anonymous):
nah the first term for the second one is 7
OpenStudy (anonymous):
so an = -3 4n - 1??
OpenStudy (anonymous):
@Niguyver
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OpenStudy (anonymous):
It could be C
OpenStudy (anonymous):
\[T_{n} = ar^{n -1} \]
OpenStudy (anonymous):
that is the equation for geometric
OpenStudy (anonymous):
so you have for the 2nd term
−21=ar
OpenStudy (anonymous):
and the 5th term
567=ar^4
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OpenStudy (anonymous):
wait, this is for 1st question write?
OpenStudy (anonymous):
no 2nd one
OpenStudy (anonymous):
this can be written as
567=ar×r^3
OpenStudy (anonymous):
substitute the information from the 2nd term
567=−21×r3
OpenStudy (anonymous):
an = 7 3n?
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OpenStudy (anonymous):
I got c could be wrong though
OpenStudy (anonymous):
an = 7 (-3)n - 1 ?
OpenStudy (anonymous):
this is wrong?
OpenStudy (anonymous):
Yea I did get C but I could be wrong
OpenStudy (anonymous):
okay, that's fine :)
Thank you so much
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