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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 10, 2024
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16r = 1/4

r = (1/4) / 16  = 1/64

 

30th term  is    (1/4) r^6  = (1/4)(1/64)^6   = (1/4) ( 1/4^3) ^6  =  (1/ 4)^19 = 0.000000000003638

 

cool cool cool

 May 10, 2024

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