Q. 4 D

# Express the following as a sum of consecutive odd numbers starting with 1

11^{2}

Answer :

We know that any square can be expressed as the sum of consecutive odd numbers starting from 1.

n^{2} = 1 + 3 + 5 + … + (2n-1)

Therefore, 11^{2} = 1 + 3 + 5 + … + (2 × 11-1)

= 1 + 3 + 5 + … + 21

= 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 + 21

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