Paper 1 · Mathematical Reasoning and Aptitude
UGC NET December 2023 (14.12.2023) Shift-I
What will be the value of P in the following number series? 0, 2, 24, 252, P
A3120 ✓ Correct
B1029
C2045
D630
Correct answer: (A) 3120 — The value of P is 3120, so that is the answer.
Explanation
★The value of P is 3120, so that is the answer.
★Each term follows the pattern n raised to the power n, minus n.
★For n equal to 1, 1 to the power 1 minus 1 is 0.
★For n equal to 2, 2 squared minus 2 is 2, and 3 cubed minus 3 is 24.
★For n equal to 4, 4 to the power 4 minus 4 is 252.
★For n equal to 5, 5 to the power 5 minus 5 is 3125 minus 5, which is 3120.
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