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The sum of the first n odd natural numbers equals which square?

Class 8Properties of Square NumbersSquares and Roots

A $n^{2}$
B $2 n$
C $n (n + 1)$
D $(2 n)^{2}$

Step-by-Step Solution

1 + 3 + 5 + ... +

(2 n - 1) = n^{2}

. This is a key property linking odd numbers to squares.

Answer: A)

n^{2}

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