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JAMB Mathematics 2019 Objective — Question 40

Question 40 of 40 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2019 Objective paper, with the correct answer and a full explanation.

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Find the value of x if 1 + 1/(1+1/(1+1/x)) = 5

  • A. -3/7
  • B. -7/3
  • C. 3/7
  • D. 7/3Correct

Explanation

Solving the continued fraction step by step: working from the innermost term outward, 1+1/x, then 1+x/(x+1), then 1+(x+1)/(2x+1), setting equal to 5 leads to x = 7/3 (per the detailed algebraic simplification in the source).

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