Practicing Success
The average of the squares of first ten natural numbers is: |
35.5 36 37.5 38.5 |
38.5 |
Sum of squares of first n natural Number = \(\frac{ n (n + 1) (2n + 1) }{6}\) N = 10 Sum of squares of first 10 natural Number = \(\frac{ 10 (10 + 1) (2 × 10 + 1) }{6}\) = 385 ∴ Average of squares of first 10 natural numbers = \(\frac{ sum \; of \;squares }{10}\) ∴ Average of squares of first 10 natural numbers = \(\frac{ 385}{10}\) = 38.5 |