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📐 Mathematics  ·  Sequences and Series  ·  JEE

The sequence 1, 4, 9, 16,... is:

Answer: Squares of natural numbers.

  • A An AP with common difference 3
  • B A GP with common ratio 2
  • C Squares of natural numbers
  • D An HP with reciprocals in AP

Correct answer: C. Squares of natural numbers

Explanation: 1², 2², 3², 4²,... are squares of natural numbers. Not an AP (differences: 3,5,7) or GP.

Each bar grows by the common difference d=3a1=2a2=5a3=8a4=11d=3

Bar heights for AP 2, 5, 8, 11 with the common difference d=3 marked between consecutive terms.

Concept context

Arithmetic progressions, geometric progressions, and sums

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