Hemant Malhotra and R K Tyagi Solutions for Chapter: Patterns, Exercise 3: Exercise-3

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

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

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

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

$100-19=81$

$81-17=64$

$64-15=49$

Without actual adding, find $1+3+5+7+9+11=$

Find the sum of the first nine odd numbers.

Without actual adding, find the sum of $1+3+5+7+9+11+13+15+17+19+21$.

Find the sum of the first twelve consecutive odd numbers.