Evaluate (1/2 – 1/4 – 1/8 – 1/16 + …) – 1

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

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