Complete the sequence of odd squares: __, 9, 25, 49, 81, 121.

Difficulty: Easy

Correct Answer: 1

Explanation:


Introduction / Context:
The sequence lists squares of consecutive odd numbers. Identifying this property lets us find the term preceding 9 (which is 3^2).


Given Data / Assumptions:

  • Known terms: 9, 25, 49, 81, 121 = 3^2, 5^2, 7^2, 9^2, 11^2.


Concept / Approach:

  • Preceding odd number is 1; its square is 1.


Step-by-Step Solution:

Odd numbers: 1, 3, 5, 7, 9, 11Squares: 1, 9, 25, 49, 81, 121Hence the missing initial term is 1


Verification / Alternative check:
Sequence strictly follows (2n−1)^2; with n = 1 gives 1, matching the missing place.


Why Other Options Are Wrong:

  • 3,4,5 are not squares of an odd integer preceding 3^2 in this pattern.
  • None of these: Not applicable because 1 is valid.


Common Pitfalls:

  • Assuming arithmetic progression of the values instead of recognizing squared odds.


Final Answer:
1

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