Without adding, find the sum of $1 + 3 + 5 + 7 + 9$

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Solution

The correct option is D. $25$
The sum of first $n$ consecutive odd numbers starting from $1$ equals to $n^{2}$ .
Similar way, the sum of the first five consecutive odd numbers is given by $5^{2} = 25$ [Since, $n = 5$ ]
Thus, $1 + 3 + 5 + 7 + 9 = 5^{2} = 25$
Hence, the correct option is D ( $25$ )

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