The average of first 121 odd natural numbers, is:

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  1. 122
  2. 121.5
  3. 121
  4. 120.5

Answer (Detailed Solution Below)

Option 3 : 121
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Given:

We need to find the average of the first 121 odd natural numbers.

Formula used:

The average of the first n odd natural numbers is equal to the middle number in the sequence.

Calculation:

The sequence of the first 121 odd natural numbers is: 1, 3, 5, ..., 241.

The middle number in the sequence is determined by the formula:

⇒ Middle number = (nth odd number) = 2 × n - 1

⇒ Middle number = 2 × 121 - 1

⇒ Middle number = 241

⇒ Average = Middle number = 241

∴ The correct answer is option (3).

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