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Evaluate 1 2 - 1 4 - 1 8 - 1 16 - 1 - JAMB Mathematics 2000 Question

Evaluate (1/2 - 1/4 - 1/8 - 1/16 + ...) - 1
A
2/3
B
zero
C
-2/3
D
-1
correct option: c
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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