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),

(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 becomes negative, which may be not true.