Express $49$ as the sum of $7$ odd numbers.
Express $121$ as the sum of $11$ odd numbers.

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Solution

$49 = 7^{2} =$ Sum of first $7$ odd numbers $= 1 + 3 + 5 + 7 + 9 + 11 + 13$
$121 = 11^{2} =$ Sum of first $11$ odd numbers $= 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 + 21$

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49

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49

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(i)

Express $49$ as the sum of $7$ odd numbers.

(ii)

Express $121$ as the sum of $11$ odd numbers.

Express $49$ as a sum of seven odd numbers.

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