Answer:
f(1) = <u> 14000 </u>
f(n) = f(n - 1) · <u> 0.9 </u>, for n ≥ 2
The next term in the sequence is <u> 10206 </u>.
Step-by-step explanation:
First we try to find the type of sequence it is.
Is there a common difference?
12600 - 14000 = -1400
11340 - 12600 = -1260
There is no common difference, so it is not an arithmetic sequence.
12600/14000 = 0.9
11340/12600 = 0.9
There is a common ratio, so this is a geometric sequence.
Each term is 0.9 times the previous term.
The next term is:
11340 * 0.9 = 10206
Answer:
f(1) = <u> 14000 </u>
f(n) = f(n - 1) · <u> 0.9 </u>, for n ≥ 2
The next term in the sequence is <u> 10206 </u>.
