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Consider the geometric sequence  3, 9, 27, 81, .... Find the eighth term of the sequence. Express your answer as a common fraction.

 Dec 28, 2021
 #1
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81 * 3 * 3 * 3 * 3  * 3 = .........

81 * 35 =............   

 Dec 28, 2021
 #3
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Check your arithmetic.  That would be the 9th term. 

Guest Dec 28, 2021
 #4
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Yep....thought it said ninth when I was answering.... thanx for the notice !

Guest Dec 28, 2021
 #5
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YW, but your methodology was correct versus mine.  I think I made a mistake when I "rewrote" the sequence.  I think I converted it to an exponential sequence rather than a geometric sequence.  I'm not sure of that, though. 

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Guest Dec 29, 2021
 #2
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Consider the geometric sequence  3, 9, 27, 81, .... 

Find the eighth term of the sequence.

Express your answer as a common fraction. 

 

Let's write that same sequence as 31, 32, 33, 34, ...  

so the eighth term would be 38 which is 6561

.

 Dec 28, 2021

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