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Per NCERT, the difference between consecutive SQUARE numbers (1, 4, 9, 16, 25, ...) gives which sequence?
APrimes
BOdd numbers: 3, 5, 7, 9, ... — illustrating that each square is the sum of consecutive odd numbers
CTriangular numbers
DEven numbers: 2, 4, 6, 8, ...
Answer & Solution
Correct answer: B. Odd numbers: 3, 5, 7, 9, ... — illustrating that each square is the sum of consecutive odd numbers
Per NCERT §8.1, differences (4−1, 9−4, 16−9, 25−16) = 3, 5, 7, 9 — successive odd numbers. So n² = 1+3+5+...+(2n−1).
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