connorcasale2 connorcasale2
  • 03-05-2020
  • Mathematics
contestada

Find an explicit formula for the geometric sequence -8,-40,-200,-1000,..

Respuesta :

jimrgrant1 jimrgrant1
  • 03-05-2020

Answer:

[tex]a_{n}[/tex] = - 8[tex](5)^{n-1}[/tex]

Step-by-step explanation:

The n th term ( explicit formula ) of 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 = - 8 and r = - 40 ÷ - 8 = 5, thus

[tex]a_{n}[/tex] = - 8 [tex](5)^{n-1}[/tex]

Answer Link
amna04352
amna04352 amna04352
  • 03-05-2020

Answer:

an = (-8/5) × 5^n

Step-by-step explanation:

It is Geometric progression with:

first term: -8

common ratio: -40/-8 = 5

an = (-8) × 5^(n-1)

an = (-8/5) × 5^n

Answer Link

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