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The sum of the square of the first ten natural numbers is:
Question

The sum of the square of the first ten natural numbers is:

A.

3025

B.

5050

C.

385

D.

55

Correct option is C

Given:
First ten natural numbers: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10
Formula Used:
Sum of squares of first n natural numbers = n(n+1)(2n+1)6\frac{n(n + 1)(2n + 1) }{6}​​
Solution:
Sum =10(10+1)(2×10+1)6=10×11×216Sum =23106=385\text {Sum }= \frac {10(10 + 1)(2×10 + 1)}{ 6} = \frac{10 × 11 × 21}{ 6}\\\text {Sum } = \frac { 2310}{6} = 385\\​​
Alternate Solution:
You can directly calculate the sum by adding the squares of individual numbers:
1² + 2² + 3² + 4² + 5² + 6² + 7² + 8² + 9² + 10² = 385

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