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Mathematics 19 Online
OpenStudy (anonymous):

Help with discrete mathematics please???? Find the 6th term of a geometric sequence with t1 = 7 and t9 = 45,927.

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 \[t _{9}=t _{1}r ^{9-1}\] \[45927=7r ^{8}\]

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

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?

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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