Find the sum of the indicated terms of the geometric sequence. 2, 4, 8 ... (to 8 terms)
A)s = 512
B)s = 514
C)s = 510
D)s = 508
E)none of the above

Question

Quizplus · Accepted Answer

To find the sum of the first 8 terms of the geometric sequence, we use the formula:

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

where 
a = 2 (first term) 
r = 4/2 = 2 (common ratio) 
n = 8 (number of terms to sum)

Plugging in the values, we get:

s = 2(1 - 2^8)/(1 - 2) 
s = 2(-255)/(-1) 
s = 510

Therefore, the sum of the first 8 terms of the sequence is 510.

Find the Sum of the Indicated Terms of the Geometric