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OpenStudy (anonymous):
Help with discrete mathematics please????
Find the 6th term of a geometric sequence with t1 = 7 and t9 = 45,927.
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OpenStudy (anonymous):
the 6th term hmmm
OpenStudy (anonymous):
Ay can some please help me pleaseeee its like no one wants to help me
OpenStudy (anonymous):
lol
OpenStudy (anonymous):
The formula for the nth term of a geometric sequence is
\[t _{n}=t _{1}r ^{n-1}\]
Plug in and solve for r
\[t _{9}=t _{1}r ^{9-1}\]
\[45927=7r ^{8}\]
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OpenStudy (anonymous):
there is your help :P
OpenStudy (anonymous):
Then once you have r, go back and use the same formula to find t6
OpenStudy (anonymous):
The formula for the nth term of a geometric sequence is
tn=t1rn−1
Plug in and solve for r
t9=t1r9−1
45927=7r8
OpenStudy (anonymous):
lol
OpenStudy (anonymous):
cool
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OpenStudy (anonymous):
byes
OpenStudy (anonymous):
R=3 so I got 6237. Is that correct?
OpenStudy (anonymous):
r = 3 is right, but not 6237. What did you use for the exponent when finding t6?
OpenStudy (anonymous):
\[t _{6}=7\times3^{6-1} \] right?
OpenStudy (anonymous):
yes. what did you do next?
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OpenStudy (anonymous):
\[t _{6}=7\times3^{5}\]
OpenStudy (anonymous):
so you should have 7*243
OpenStudy (anonymous):
Okay I got 1701 this time
OpenStudy (anonymous):
yep, that's it!
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