miasarcev miasarcev
  • 30-05-2019
  • Mathematics
contestada

what is the 20th term in the following sequence?

-2, -6, -18, -54, -162...

Respuesta :

jimrgrant1 jimrgrant1
  • 30-05-2019

Answer:

-2324522934

Step-by-step explanation:

These are the terms of a geometric sequence with n th term

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

where a is the first term and r the common ratio

r = [tex]\frac{-6}{-2}[/tex] = 3 and a = - 2, hence

[tex]a_{20}[/tex] = - 2 × [tex]3^{19}[/tex] = - 2324522934

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