yaox2026 yaox2026
  • 23-03-2022
  • Mathematics
contestada

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

Respuesta :

tuvillacarlosmiguel
tuvillacarlosmiguel tuvillacarlosmiguel
  • 23-03-2022

Answer:

a n= - 3a_{n-1}a n−1 with a₁ = - 0.3

Step-by-step explanation:

The recursive formula for a geometric sequence is of the form

a_{n}a

n = ra_{n-1}a

n−1

where r is the common ratio

r = \frac{a_{2} }{a_{1} }

a

1

a

2

= \frac{0.9}{-0.3}

−0.3

0.9

= - 3 , thus

a_{n}a

n

= - 3a_{n-1}a

n−1

with a₁ = - 0.3

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