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Determine the next term in the geometric sequence:

1\2, 1\3, 2\9, 4\27, 8\(?)

 May 23, 2017

Best Answer 

 #1
avatar+2439 
+1

Each term in the geometric sequence is being multiplied by 2/3. It took me a second to get it, too!

 

Anyway, multiply 4/27 by 2/3:

 

\(\frac{4}{27}*\frac{2}{3}=\frac{8}{81}\)

 May 23, 2017
edited by TheXSquaredFactor  May 23, 2017
 #1
avatar+2439 
+1
Best Answer

Each term in the geometric sequence is being multiplied by 2/3. It took me a second to get it, too!

 

Anyway, multiply 4/27 by 2/3:

 

\(\frac{4}{27}*\frac{2}{3}=\frac{8}{81}\)

TheXSquaredFactor May 23, 2017
edited by TheXSquaredFactor  May 23, 2017
 #2
avatar
+1

Thanks so much!!!!

Guest May 23, 2017
 #3
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+2

TheXSquareFactor:

A slight correction: The term is: 4/27 x 2/3 = 8 / 81

 May 23, 2017
 #4
avatar+2439 
+1

Good catch! So many people would overlook that.

TheXSquaredFactor  May 23, 2017
edited by TheXSquaredFactor  May 23, 2017

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