which of the following is the explicit rule for a geometric sequence defined by a recursive formula of
for which the first term is 
300

which of the following is the explicit rule for a geometric sequence defined by a recursive formula of for which the first term is 300 class=

Respuesta :

Answer:

C

Step-by-step explanation:

The explicit formula for a geometric sequence is

[tex]a_{n}[/tex] = a[tex](r)^{n-1}[/tex]

where a is the first term and r the common ratio

From the recursive formula

[tex]a_{n}[/tex] = - 9[tex]a_{n-1}[/tex]

The common ratio r = - 9 and with a = 300, then

[tex]a_{n}[/tex] = 300[tex](-9)^{n-1}[/tex] → C

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