Calculate the Average of the Cubes of First Five Natural Numbers?

  1. 28
  2. 25.5
  3. 24.5
  4. 29
vijay Professor Asked on 7th August 2015 in Maths.
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1 Answer(s)

All option is wrong

Answer:  45

Explanation:-
Formula-
The sum of the cubes of the first n natural numbers = n2(n + 1)2/4
Where, n = number of the natural numbers.

Then, the sum of first 5 natural numbers = 52 (5 + 1)2/4
= 5 x 5 x 6 x 6 /4
= 25 x 3 x 3
= 225

Then, the average of the first five natural numbers = 225 / 5
= 45

Hence, the average of the cubes of the first five  natural numbers  is 45.

Anurag Mishra Professor Answered on 7th August 2015.
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