SOLUTION: I'm stumped on a question concerning arithmetic and geometric recursive formulas. I am given four terms, and I'm asked to write the common ratio, and to find the tenth term. Th

Question 986584: I'm stumped on a question concerning arithmetic and geometric recursive formulas. I am given four terms, and I'm asked to write the common ratio, and to find the tenth term.
The first four terms given are: 15000, 4500, 1350, 405, 121.5
Answer by ikleyn(52781) (Show Source): You can put this solution on YOUR website!
.
4500 = 15000*0.3;

1350 = 4500*0.3;

405 = 1350*0.3;

121.5 = 405*0.3.

The given 5 numbers are the first 5 terms of a geometric progression with the first term 15000 and the common ratio 0.3.

Therefore, you may expect that the next term is 121.5*0.3 = 36.45.

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