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What is the arithmetic mean of 82,92,102,...,152?

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NDA-I (Mathematics) Official Paper (Held On: 13 Apr, 2025)
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  1. 133.5
  2. 135.5
  3. 137.5
  4. 139.5

Answer (Detailed Solution Below)

Option 3 : 137.5
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Detailed Solution

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Calculation:

Given,

The sequence is 

Number of terms,

The sum of the first squares is 

Sum up to :

Sum up to :

Sum of the required terms:

The arithmetic mean is,

∴ The arithmetic mean is .

Hence, the correct answer is option 3.

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