Question : Find the average of the cubes of the first five natural numbers.
Option 1: 35
Option 2: 40
Option 3: 45
Option 4: 50
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Correct Answer: 45
Solution :
Average of the cubes of the first $n$ natural numbers = $\frac{n(n+1)^2}{4}$
Here, $n$ = 5
So, the average of the cubes of the first five natural numbers
= $\frac{5(5+1)^2}{4}$
= $\frac{5×36}{4}$
= $45$
Hence, the correct answer is 45.
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