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In a geometric sequence, the 23rd term is 16 and the 24th term is 1/4. What is the 30th term?

 May 14, 2024
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r = (1/4) / 16  =  1 / 64

 

30th term  = 

 

(1/4)r^6

 

(1/4) (1/ 64)^6   =

 

(1/2)^2 * ( 1/ 2^6)^6  =

 

(1/2^2)  * ( 1/2^36)  =

 

1/ 2^38

 

1 / 274877906944

 

cool cool cool

 May 14, 2024

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