Use Mathematical Induction to prove that : 

To prove the formula 

\[ 1^2 + 2^2 + 3^2 + \cdots + n^2 = \frac{n(n+1)(2n+1)}{6} \]

using mathematical induction, follow these steps:

### Base Case

Verify the formula for \( n = 1 \).

For \( n = 1 \):

The left-hand side (LHS) is:

\[ 1^2 = 1 \]

The right-hand side (RHS) is:

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