Respuesta :

Answer:

20/3

Step-by-step explanation:

add four t ok top one and keep the 3 down

Answer:

[tex]\frac{20}{3}[/tex]

Step-by-step explanation:

Note the consecutive terms in the sequence have a common difference, that is

[tex]\frac{8}{3}[/tex] - [tex]\frac{4}{3}[/tex] = 4 - [tex]\frac{4}{3}[/tex] = [tex]\frac{16}{3}[/tex] - 4 = [tex]\frac{4}{3}[/tex]

This indicates the sequence is arithmetic with d = [tex]\frac{4}{3}[/tex]

To find the next term in the sequence add d to the previous term, thus

[tex]a_{5}[/tex] = [tex]\frac{16}{3}[/tex] + [tex]\frac{4}{3}[/tex] = [tex]\frac{20}{3}[/tex]