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devlian [24]
3 years ago
8

Consider the first three terms of the sequence below.

Mathematics
1 answer:
Simora [160]3 years ago
5 0

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>.

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