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What is the sum of squares of first five natural numbers?

Published in Mathematics 1 min read

The sum of the squares of the first five natural numbers is 55.

To arrive at this answer, we can calculate the squares of the first five natural numbers (1, 2, 3, 4, and 5) and then add them together:

  • 12 = 1
  • 22 = 4
  • 32 = 9
  • 42 = 16
  • 52 = 25

Adding these values gives us: 1 + 4 + 9 + 16 + 25 = 55.

Alternatively, we can use a formula to calculate the sum of the first n square numbers:

Sum = (1/6) n (n + 1) * (2n + 1)

Where 'n' is the number of natural numbers (in this case, 5).

Plugging in n = 5:

Sum = (1/6) 5 (5 + 1) (2 5 + 1)
Sum = (1/6) 5 6 11
Sum = (1/6)
330
Sum = 55

Therefore, the sum of the squares of the first five natural numbers is 55.

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