jrodriguez4146
jrodriguez4146 jrodriguez4146
  • 13-07-2020
  • Mathematics
contestada

what is the explicit formula for this sequence? 2,10,50,250,1250
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Respuesta :

Space
Space Space
  • 13-07-2020

Answer:

[tex]a_n = 2(5)^{n-1}[/tex]

Step-by-step explanation:

Explicit Geometric Formula: [tex]a_n = a_1r^{n-1}[/tex]

a₁ is 1st term

r is common ratio

n is term number

Step 1: Find common ratio r

r = 10/2 = 5

Step 2: Plug variables into formula

[tex]a_n = 2(5)^{n-1}[/tex]

Answer Link
snog
snog snog
  • 13-07-2020

Answer:

This is a geometric sequence with a₁ = 2 and r = 5 where a₁ is the first term and r is the common ratio.

Explicit formula: aₙ = a₁ * r ⁿ⁻¹

The answer is aₙ = 2 * (5ⁿ⁻¹)

Answer Link

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