Respuesta :

Answer:

125, 100, 80,64,51.2,40.96...

Step-by-step explanation:

y=[tex]\frac{4}{5}[/tex]x

So let's work backwards!

[tex]\frac{5}{4}[/tex](80)

=100

Then...

[tex]\frac{5}{4}[/tex](100)

=125

Hope this helps! :D

Answer:

  125, 100

Step-by-step explanation:

Perhaps the terms of your series are supposed to be ...

  __, __, 80, 64, 51.2, 40.96, ...

The common ratio is 64/80 = 0.8, so the recursive relation is ...

  t[n] = 0.8×t[n-1]

__

Solving for the previous term, we find ...

  t[n]/0.8 = t[n-1] . . . . . . divide by 0.8

or ...

  t[n-1] = 1.25×t[n] . . . . . rearrange

Then the term previous to 80 is 1.25×80 = 100.

And the term previous to 100 is 1.25×100 = 125.

The first two terms of the geometric sequence are 125 and 100.