Find the average of cubes of natural numbers till 7.
Answer & explanation
Correct answer: option 3
Sum of cube of n natural numbers = n2 × \(\frac{(n + 1)(n + 1)}{4}\)
Here n = 7
Sum of cube of 7 natural numbers = 72 × \(\frac{(7 + 1)(7 + 1)}{4}\) = 784
Now, the average of cube of first 7 natural numbers= \(\frac{784}{7}\) = 112