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2000

Mathematics

67ca00ce0c643c71d77dee1f

Evaluate (1/2 - 1/4 - 1/8 - 1/16 + ...) - 1

A.

2/3

B.

zero

C.

-2/3

D.

-1

Correct Answer: -2/3

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
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