Question:medium
If $P(n): 1 + 3 + 5 + \cdots + (2n-1) = n^2$ is
If $P(n): 1 + 3 + 5 + \cdots + (2n-1) = n^2$ is
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The sum of the first $n$ odd natural numbers always equals $n^2$. This is a standard result worth memorising.
Updated On: Apr 8, 2026
- true for all $n \in \mathbb{N}$
- true for $n>1$
- true for no $n$
- None of these
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The Correct Option is A
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