iiii127 iiii127
  • 25-07-2022
  • Mathematics
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Identify the recursive formula for the sequence -3, 9, -27, 81, ....

Identify the recursive formula for the sequence 3 9 27 81 class=

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jimrgrant1 jimrgrant1
  • 25-07-2022

Answer:

A

Step-by-step explanation:

there is a common ratio between consecutive terms , that is

9 ÷ - 3 = - 27 ÷ 9 = 81 ÷ - 27 = - 3

this indicates the sequence is geometric.

the recursive formula allows a term in the sequence to be found by multiplying the previous term by the common ratio r , that is

f(n) = - 3f(n - 1) if n > 1 : f(1) = - 3

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