Bangtanboyzzz Bangtanboyzzz
  • 22-06-2022
  • Mathematics
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which of the following is the explicit rule for a geometric sequence defined by a recursive formula of an=13an-1 for which the term is 7?

which of the following is the explicit rule for a geometric sequence defined by a recursive formula of an13an1 for which the term is 7 class=

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batolisis
batolisis batolisis
  • 23-06-2022

The rule is [tex]a_{n}[/tex] = 7 x [tex]13^{n-1}[/tex].

What is a sequence?

A sequence is an array of numbers in which successive terms differ by a constant term.

Analysis:

For n = 2

[tex]a_{2}[/tex] = 13[tex]a_{1}[/tex]  but a1 = 7

a2 = 13 x 7

a3 = 13[tex]a_{2}[/tex]

a3 = 13 x 13 x 7

so the correct formula is  [tex]a_{n}[/tex] = 7 x [tex]13^{n-1}[/tex] for n = 1

Learn more about sequence: brainly.com/question/6561461

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