Questionالسؤال 3 ?Which of the following formulas represents the sum of squares $1 \wedge 2+2 \wedge 2+\ldots+n^{\wedge} 2(M C Q) .4$

Studdy Solution

STEP 1

1. We are tasked with finding a formula for the sum of squares of the first $n$ natural numbers.
2. The sum of squares is represented as $1^2 + 2^2 + \ldots + n^2$ .
3. We need to identify the correct formula from the given options.

STEP 2

1. Recall the formula for the sum of squares.
2. Verify the formula against the options provided.

STEP 3

The formula for the sum of squares of the first $n$ natural numbers is:
$S = \frac{n(n+1)(2n+1)}{6}$

STEP 4

Compare the formula $S = \frac{n(n+1)(2n+1)}{6}$ with the options provided in the question.
The formula that represents the sum of squares $1^2 + 2^2 + \ldots + n^2$ is:
$\boxed{\frac{n(n+1)(2n+1)}{6}}$

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