Observe the pattern.

$$\begin{gathered} 7^2=49 \\ {67}^2=4489 \\ {667}^2=444889 \\ {6667}^2=44448889 \\ {66667}^2=4444488889 \\ {666667}^2=444444888889 \end{gathered}$$

Now, write the square of ${6666667}^2$, making use of the above pattern.

Express the square number as the sum of odd numbers :

$36=$

Express the square number as the sum of odd numbers.

$81=$

Express the square number as the sum of odd numbers :

$49=$

Answer the following.

How many non-square numbers are there between ${12}^2$ and ${13}^2$?

Evaluate $(38{)}^2–(37{)}^2$.

By observing the following pattern, generate the next three lines:

$5\times 5=1+3+5+7+9$

$6\times 6=1+3+5+7+9+11$

If $n$ is odd, then $\left(1+3+5+7+ ... \mathrm{to} n \mathrm{terms}\right)$ is equal to

Express the square number as the sum of odd numbers :

$100=$

Without adding, find the value of $(1+3+5+7+9+11+13)$.

How many numbers lie between squares of the following numbers

$12$ and $13$

Express $100$ as the sum of $10$ odd numbers