Math, asked by prevathi81750, 5 months ago

The arithmetic mean of 1² 2² 3²____n² is ​

Answers

Answered by myjerry19120
1

Answer:

All the steps are provided below

Step-by-step explanation:

Arithmetic mean =

 \frac{ \:   {1}^{2}  +  {2}^{2}  +  {3}^{2}  + ..... +  {n}^{2} }{n}

 {1}^{2}  +  {2}^{2}  +  {3}^{2}  + ..... +  {n}^{2} =  \frac{n(n + 1)(2n + 1)}{2}

arithmetic \: mean \:  =  \frac{n(n + 1)(2n + 1)}{2n}

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