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Sum of First $$n$$ Odd Numbers
## Formula
$$1+3+5+\cdots+(2n-1)=n^2$$
Therefore:
$$\sum_{k=1}^{n}(2k-1)=n^2$$
## Usage
- Used in summation problems involving consecutive odd numbers.
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Sum of First $$n$$ Odd Numbers
## Formula
$$1+3+5+\cdots+(2n-1)=n^2$$
Therefore:
$$\sum_{k=1}^{n}(2k-1)=n^2$$
## Usage
- Used in summation problems involving consecutive odd numbers.
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