Zaymiey

📐 Mathematics  ·  Sequences and Series  ·  JEE

The sum of the first n odd natural numbers (1 + 3 + 5 + …) is:

Answer: n².

  • A
  • B n(n + 1)
  • C n(n + 1)/2
  • D 2n

Correct answer: A. n²

Explanation: The sum of the first n odd numbers is n²; e.g. 1 + 3 + 5 = 9 = 3².

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

Read the full Sequences and Series notes →