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earnstyle [38]
3 years ago
12

Given the sequence -3, 9, -27, 81, -243, ..., find the recursive formula.

Mathematics
1 answer:
Tanzania [10]3 years ago
5 0

Answer:

a_{n} = - 3a_{n-1}

Step-by-step explanation:

There is a common ratio between consecutive terms of the sequence, that is

r = 9 ÷ - 3 = - 27 ÷ 9 = 81 ÷ - 27 = - 243 ÷ 81 = - 3

The recursive formula is of the form

a_{n} = ra_{n-1} = - 3a_{n-1}

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