Question

PLEASE HELP!!! Calculate S12 for the geometric series 4 + 10 + 25 + ...

Answer 1

Answer:

A. 158,943.053

Step-by-step explanation:

Answer 2

Answer: sum of the first 12 terms is

158944

Step-by-step explanation:

In a geometric series, successive terms differ by a common ratio. The formula for the sum of n terms, Sn in a geometric sequence is expressed as

Sn = a(r^n - 1)/(r - 1)

Where

a represents the first term of the sequence.

r represents the common ratio.

n represents the number of the terms in the sequence.

From the information given, we want to determine S12, so

n = 12

a = 4

r = 10/4 = 25/10 = 2.5

S12 = 4(2.5^12 - 1)/(2.5 - 1)

S12 = 4(59605 - 1)/1.5

S12 = (4×59604)/1.5

S12 =238416/1.5 = 158944