hollybrownn4 hollybrownn4
  • 01-07-2020
  • Mathematics
contestada

For the following geometric sequence find the explicit formula: {-1, 3, -9,...}

Respuesta :

notfamous159
notfamous159 notfamous159
  • 01-07-2020
multiplies by -3 every time
Answer Link
jimrgrant1 jimrgrant1
  • 01-07-2020

Answer:

[tex]a_{n}[/tex] = - 1 [tex](-3)^{n-1}[/tex]

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

Here a = - 1 and r = 3 ÷ - 1 = - 3 , thus explicit formula is

[tex]a_{n}[/tex] = - 1 [tex](-3)^{n-1}[/tex]

Answer Link

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