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What is the 8th term of the geometric sequence where a1 = 243 and a4 = 9?
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Find the common ratio r first using the explicit def of geo seq\[a(n)=a _{1}r^{n-1}\]\[9=243r^{4-1}\]\[r^3=27\]\[r=3\]
r should equal 1/3 tho...
as 243*3^2=6561...
or your initial equation should have been a1/r^(n-1)
other than that, ya
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correct r=1/3 \[a(8)=243\left( \frac{1}{3} \right)^{8-1}=\frac{1}{9}\]
these are the answers given to choose from 0.0123456 0.037037 0.11111 0.3333
1/9=0.1111111
thanx champ
What is the simplified form of|dw:1315871037579:dw|
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