Answer:
The sum of geometric series is 255....
The correct option is 255.
Step-by-step explanation:
We can write this series as:
1+2+4+...+128
Find the sum of the geometric series by this formula:
Sn= a(r^n-1)/r-1
where r greater than 1
a is the first term
n is the number of terms
r is the common ratio
. The given series has common ratio (r) = 2>1
n=8 and a = 1
Thus 2/1 =2
2/14 = 2
Put the values in the formula:
Sn= a(r^n-1)/r-1
Sn=1(2^8-1)/2-1
Sn=1(256-1)
Sn= 255
Therefore the sum of geometric series is 255.
The correct option is 255....
