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Ipatiy [6.2K]
3 years ago
5

Complete the recursive formula of the geometric sequence 500, 200, 80, 32, ....

Mathematics
1 answer:
Ksju [112]3 years ago
8 0

Answer:

times 0.4

Step-by-step explanation:

The recursive formula allows a term in the sequence by multiplying the previous term by the common ratio r

Here

r = \frac{200}{500} = \frac{2}{5} = 0.4

Thus the recursive formula is

c(n) = c(n - 1) × 0.4 → with c(1) = 500 ← the first term in the sequence

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