A mechanical harvester cost $350,000 when purchased. The next year it was valued at $325,000, and the year after was valued at $300,000. 1. What...

Hello!

Consider the differences between the adjacent terms:

350,000 - 325,000 = 25,000,
325,000 - 300,000 = 25,000.

These differences are equal, so we can suppose that the next terms of our sequence will satisfy the same rule:

300,000 - 25,000 = 275,000,
275,000 - 25,000 = 250,000,
250,000 - 25,000 = 225,000

and so on.

This is an arithmetic sequence (progression), `a_n=350,000-n*25,000`

(n is the number of years after the purchase).

Note that a) there are infinitely many different rules for the same three first terms and b) for large n `a_n` becomes negative, which may be not true.