Chin-Mae draws this mapping diagram and function machine for the same function

Copy the function machine. Fill in the missing numbers and the rules in the function machine. Show your working.

Chin-Mae draws this mapping diagram for a function

Copy and complete this function machine and table of values for the same function.

Explain how you worked out your answer

For the infinite sequences, work out:

$6, 8, 10, 12, ...$

The term-to-term rule

For the infinite sequences, work out:

$9, 15, 21, 27, ...$

The term-to-term rule

For the infinite sequences, work out:

$28, 25, 22, 19, ...$

The term-to-term rule

For the infinite sequences, work out:

$6, 8, 10, 12, ...$

The next two terms

For the infinite sequences, work out:

The next two terms

$9, 15, 21, 27, ...$

For the infinite sequences, work out:

$28, 25, 22, 19, ...$

The next two terms

For the infinite sequences, work out:

$6, 8, 10, 12, ...$

The ${10}^{th}$ term