Paper 1 · Mathematical Reasoning and Aptitude
UGC NET December 2021 June 2022 (11.07.2022) Shift-II
Find the missing term in the sequence: 1, 4, 27, 16, ?, 36, 343
A64
B51
C52
D125 ✓ Correct
Correct answer: (D) 125 — The missing term is 125.
Explanation
★The missing term is 125.
★The sequence alternates between cubes and squares of the counting numbers.
★Odd positions are cubes: 1 cubed is 1, 3 cubed is 27, 5 cubed is 125, 7 cubed is 343.
★Even positions are squares: 2 squared is 4, 4 squared is 16, 6 squared is 36.
★The fifth term sits at an odd position and equals 5 cubed.
★So the missing value is 5 cubed, which is 125.
★Spotting an alternating pattern is key when a series is not monotonic.
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