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Post-UTME Mathematics 2013 Objective — Question 48

Question 48 of 100 from the Post-UTME Screening (Post-UTME) Mathematics 2013 Objective paper, with the correct answer and a full explanation.

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Find the sum to infinity of the series ½ - ¼ + 1/8 - 1/16 + ...

  • A. 1
  • B. 1/3Correct
  • C. 2/3
  • D. 2

Explanation

This is a GP with a=½, r=-½. Sum to infinity = a/(1-r) = 0.5/1.5 = 1/3.

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