Respuesta :

Answer:

292,968

Step-by-step explanation:

As we know,

Sum of a geometric sequence (S) = [tex]\frac{a(1-r^{n}) }{(1-r)}[/tex]

where,

a = first term of sequence,

r = the constant ratio,

n = number of terms in sequence.

So, according to the question,

a = 3,

r = 5,

n = 8.

by substituting the values in the above formula, we get;

⇒ [tex]S=\frac{3(1-5^{8}) }{(1-5)}[/tex]

⇒ [tex]292,968[/tex]