Evaluate (1/2 – 1/4 – 1/8 – 1/16 + …) – 1
-
A.
2/3 -
B.
zero -
C.
-2/3 -
D.
-1
Correct Answer: Option C
Explanation
S = a/(1+r), where a = 1/2, r = 1/2.
S = 1/2 3/2 = 1/2 x 3/2 = 1/3.
1/3 – 1 = -2/3
S = a/(1+r), where a = 1/2, r = 1/2.
S = 1/2 3/2 = 1/2 x 3/2 = 1/3.
1/3 – 1 = -2/3