Select the correct answer. Evaluate the geometric series 8 sigma 2^t-1 t=1 A. 254 B. 255 C. 508 D. 510

if plato it is b.) 255

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 ...