Question

Express the following as a sum of consecutive odd numbers starting with $1$
(i) $7^2$
(ii) $9^2$
(iii) $5^2$
(iv) ${11}^2$

Answer 1

$\left(1\right)7^2=(1+3+3{)}^2$

$\left(2\right)9^2=(1+3+5{)}^2$

$\left(3\right)5^2=(1+1+3{)}^2$

$\left(4\right)(11{)}^2=(1+3+5+1+1{)}^2$