How to Find the nth Square?

To find the nth square, simply square the integer n. This means multiplying the number by itself.

The Formula

The formula for calculating the nth square is:

S_n = n²

Where:

• S_n represents the nth square number.
• n is the integer you want to square.

Examples

Let's illustrate with a few examples:

• Finding the 5th square: S₅ = 5² = 5 * 5 = 25
• Finding the 10th square: S₁₀ = 10² = 10 * 10 = 100
• Finding the 1st square: S₁ = 1² = 1 * 1 = 1
• Finding the 16th square (as per the provided reference): S₁₆ = 16² = 16 * 16 = 256

Practical Applications

Finding the nth square has many applications in various fields, including:

• Mathematics: Fundamental in algebra, geometry, and number theory.
• Computer Science: Used in algorithms and data structures.
• Physics: Appears in equations related to area, volume, and other physical phenomena.
• Engineering: Essential for calculations involving dimensions and quantities.

Programming Note

Many programming languages offer built-in functions or operators for squaring a number. For instance, in Python, you would use the ** operator: result = n**2.