What is the sum of the geometric series
12
E 2(1/2)^x
x=0
4
0
2
3
PLEASE HELP Urgent
To find the sum of a geometric series, you can use the formula:
S = a(1 - r^n) / (1 - r)
Where:
S is the sum of the series
a is the first term of the series
r is the common ratio of the series
n is the number of terms in the series
In this case, the first term (a) is 12, the common ratio (r) is 1/2, and we have x terms.
Now, substitute the values into the formula:
S = 12(1 - (1/2)^x) / (1 - 1/2)
Since x = 0, the term (1/2)^x becomes 1, and the formula simplifies to:
S = 12(1 - 1) / (1 - 1/2)
= 12(0) / (1/2)
= 0
Therefore, the sum of the geometric series is 0.
Answer: 0