Study the matchstick patterns shown in figure,

Write down the pattern using numbers

Study the matchstick patterns in the given figures.

Write down the rule to go from one shape to the next.

Study the matchstick patterns shown in the figures below:

If the sum of the expressions for the number of matchsticks in the $n^{\text{th }}$ shape of both patterns is of the form $ax+b$, then find the value of $a+b$. 

Write the next number in each of the following number patterns and state the rule.

$50, 63, 76, 89, \_\_\_$

Write the next number in each of the following number patterns and state the rule.

$11, 22, 44, 88, \_\_\_$.

Write the next number in the following number patterns and state the rule.

$625, 125, 25, 5, ...$.

Write the next number in the following number patterns and state the rule.

$1, 4, 9, 16, \_\_$.

Write a rule to show the relationship between the two quantities in each of the following tables:

Write a rule to show the relationship between the two quantities in each of the following tables: