Stared at this for a bit because I kept trying to find one unified pattern across the whole thing.
First, convert all terms to fractions to see patterns clearly. Then, analyze the numerators and denominators separately, looking for relationships such as squares, Fibonacci, or other sequences. Finally, use the identified patterns to compute the missing term.
Pro tip: In trading interviews, speed and accuracy are crucial. Practice mental math and pattern recognition under time pressure, and always double-check your answer by verifying it fits the sequence.
Rewrite all terms as fractions with a common denominator if necessary, to make patterns more apparent.
Examine the sequence of numerators to identify a pattern, such as squares of natural numbers or Fibonacci numbers.
Examine the sequence of denominators to identify a pattern, such as Fibonacci numbers or other simple sequences.
Determine how the numerator and denominator sequences relate to each other and to the position in the sequence.
Apply the identified patterns to calculate the missing term, ensuring it fits the overall sequence.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.