Select the correct answer. evaluate the geometric series 8 sigma 2^t-1 t=1 a. 254 b. 255 c. 508 d. 510

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

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step-by-step explanation: