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

Mathematics
JAMB 2000

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

  • A. 2/3
  • B. zero
  • C. -2/3
  • D. -1
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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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WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
WAEC offline past questions - with all answers and explanations in one app - Download for free
WAEC offline past questions - with all answers and explanations in one app - Download for free
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709