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How many terms are in the geometric sequence?
3, 3 \sqrt 2, 6, \dots, 96, 96 \sqrt 2, 192, 192 \sqrt 2, \dots, 3072

 May 21, 2022
 #1
avatar+588 
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Could u rewrite it so that it is not in latex form

 

Thank you!

 May 21, 2022
 #2
avatar+588 
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To find the terms of a geometric sequence you have to find the geometric formula which in this case is:

a = 3√2^n-1

 

Then you can start guessing and checking for "n" till you get 3072 

or..

You can substitute "a" 3072 and then solve 

 

I solved the answer by using the second method of substituting and got the answer 21

 

I hope this helped!!!

 May 21, 2022

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