Respuesta :

For this sequence, every number is divided by two. 400/2 = 200, 200/2 = 100, etc.

To find the next two terms, you divide 25/2 = 12.5, then 12.5/2 = 6.25

The next two terms are 12.5 and 6.25

12.5, 6.25

the sequence is geometric with common ration r = [tex]\frac{1}{2}[/tex]

r = [tex]\frac{200}{400}[/tex] = [tex]\frac{100}{200}[/tex] = [tex]\frac{1}{2}[/tex]

to find the next term in the sequence multiply the previous term by [tex]\frac{1}{2}[/tex]

25 × [tex]\frac{1}{2}[/tex] = 12.5

12.5 × [tex]\frac{1}{2}[/tex] = 6.25