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Nina [5.8K]
4 years ago
6

Complete the recursive formula of the geometric sequence -0.3,0.9,-2.7,8.1

Mathematics
1 answer:
Yanka [14]4 years ago
3 0

Answer:

a_{n} = - 3a_{n-1} with a₁ = - 0.3

Step-by-step explanation:

The recursive formula for a geometric sequence is of the form

a_{n} = ra_{n-1}

where r is the common ratio

r = \frac{a_{2} }{a_{1} } = \frac{0.9}{-0.3} = - 3 , thus

a_{n} = - 3a_{n-1} with a₁ = - 0.3

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