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The seventh term of a geometric sequence is 5 and the tenth term is 16.875.Find the fifteenth term of this sequence.

 Oct 11, 2020
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5 = F * R^6,   

16.875 =F * R^9, solve for F, R

 

F =320 / 729 - This is the first term

R =3 / 2 - This is the common ratio

 

15th term =320 / 729 * (3/2)^14 =32805 / 256

 Oct 11, 2020

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