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

Algebra ->  Finance -> 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      Log On


   

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) About Me  (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.