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Find the indicated term of the geometric sequence.

a = 6, r = -3; Find the 4th term.

 May 7, 2014

Best Answer 

 #3
avatar+33615 
+8

Hmm! The notation used in the question suggests that the first term is a=6 and the geometric progression ratio is r=-3.

If this is the case then the sequence goes

a = 6

ar = -18

ar2 = 54

ar3 = -162

 May 7, 2014
 #2
avatar+1006 
0

This sequence can go two ways: Are you doing an arithmetic sequence or a geometric sequence?

 

I will do both just in case.

 

For a geometric sequence, the rate 'r' is -1/2: Thus, the sequence would be:

 

{6, -3, 1.5, -0.75}

 

And that would be the answer.

 

HOWEVER, it is also possible to have an arithmetic sequence. The rate 'r' for that would be -9: Thus, the sequence would be:

 

{6, -3, -12, -21}

 

And thus, that is your other answer.

 May 7, 2014
 #3
avatar+33615 
+8
Best Answer

Hmm! The notation used in the question suggests that the first term is a=6 and the geometric progression ratio is r=-3.

If this is the case then the sequence goes

a = 6

ar = -18

ar2 = 54

ar3 = -162

Alan May 7, 2014
 #4
avatar+1006 
0

Bah, when I looked at the topic, I thought those were two terms to get started D:

 May 9, 2014

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