Respuesta :

mhanifa

Answer:

  • The next term in the sequence is 5/2 or 2.5.

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Given series:

  • -20, 10, - 5, ...

We notice that this is a geometric progression.

The common ratio is:

  • r = -5/10 = 10/ -20
  • r = - 1/2

To find the next term multiply the last term by the common ratio:

  • [tex]t_n=rt_{n-1}[/tex]

The 4th term is:

  • [tex]t_4=(-1/2)*(-5)=5/2=2.5[/tex]