alleryCompute 25³ − 24³ using the pattern (n+1)³ − n³ = 1 + 3·n·(n+1):
A1801
B1731
C1701
D1841
Answer & Solution
Correct answer: A. 1801
With n = 24, n+1 = 25: 25³ − 24³ = 1 + 3 × 24 × 25 = 1 + 1800 = 1801. (Direct check: 25³ = 15625, 24³ = 13824, difference = 1801 ✓.)
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