Complete the flow diagrams, tables, and identify the rules for the given numeric patterns.

The completed flow diagram is:
Input 31 $\to \times 3 \to 93 \to + 10 \to \boxed{103}$
Input 35 $\to \times 3 \to 105 \to + 10 \to \boxed{115}$
Input $\boxed{40} \to \times 3 \to 120 \to + 10 \to 130$

b)

The completed flow diagram is:
Input 5 $\to \times 10 \to 50 \to + 6 \to \boxed{56}$
Input $\boxed{11} \to \times 10 \to 110 \to + 6 \to 116$

2. Complete the table below.
Rule: $+35$

3. Identify the rule for the table below.

For Input 1, Output 9: $1 \times 9 = 9$
For Input 3, Output 27: $3 \times 9 = 27$
For Input 5, Output 45: $5 \times 9 = 45$
For Input 9, Output 81: $9 \times 9 = 81$
For Input 20, Output 180: $20 \times 9 = 180$
The rule is to multiply the input by 9.
Rule: $\boxed{\times 9}$

4. Fill in the missing numbers and identify the rule for the sequences below.

a) Sequence: 8 000, 4 000, 2 000, ___, ___, ___

$4000 \div 8000 = 0.5$
$2000 \div 4000 = 0.5$
The rule is to divide by 2.

$2000 \div 2 = 1000$
$1000 \div 2 = 500$
$500 \div 2 = 250$
The sequence is: 8 000, 4 000, 2 000, $\boxed{1000}$, $\boxed{500}$, $\boxed{250}$
Rule: $\boxed{\div 2}$

b) Sequence: 5, 10, 20, ___, ___, ___

$10 \div 5 = 2$
$20 \div 10 = 2$
The rule is to multiply by 2.

$20 \times 2 = 40$
$40 \times 2 = 80$
$80 \times 2 = 160$
The sequence is: 5, 10, 20, $\boxed{40}$, $\boxed{80}$, $\boxed{160}$
Rule: $\boxed{\times 2}$

c) Sequence: 140, 180, 220, ___, ___, ___

$180 - 140 = 40$
$220 - 180 = 40$
The rule is to add 40.

$220 + 40 = 260$
$260 + 40 = 300$
$300 + 40 = 340$
The sequence is: 140, 180, 220, $\boxed{260}$, $\boxed{300}$, $\boxed{340}$
Rule: $\boxed{+ 40}$