jonnyapppleseeed1134
jonnyapppleseeed1134 jonnyapppleseeed1134
  • 02-11-2019
  • Mathematics
contestada

(08.04 MC)
Find the sum of the geometric sequence 3, 15, 75,375, ... when there are 8 terms and select the correct answer below.

Respuesta :

arindamvutla arindamvutla
  • 06-11-2019

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]

Answer Link

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