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

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

A.

300

B.

55

C.

385

D.

380

Correct option is C

Given:

We need to find the sum of squares of the first ten natural numbers.

Formula Used:

The sum of squares of the first n natural numbers is given by:

S=k=1nk2=n(n+1)(2n+1)6S = \sum_{k=1}^{n} k^2 = \frac{n(n+1)(2n+1)}{6}​​

Solution:

For n=10:

S=10(10+1)(2×10+1)6= \frac{10(10+1)(2 \times 10 + 1)}{6}​​

S= 10×11×216\frac{10 \times 11 \times 21}{6}​​

S =23106=385 \frac{2310}{6} = 385

Option (C) is right.

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