Question

201

6 Richard writes a number pattern that starts at 1 and follows
the rule "Add 1, then multiply by 3." Heather writes a number
pattern that starts at 1 and follows the rule "Add 3, then multiply
by 2." Write the first five ordered pairs with the x-coordinate
representing the numbers in Richard's pattern and the y-coordinate
representing the corresponding numbers in Heather's pattern.

Answer 1

To find the first five ordered pairs with the x-coordinate representing the numbers in Richard's pattern and the y-coordinate representing the corresponding numbers in Heather's pattern, we can use the given rules to generate the numbers in each pattern and then pair them up:

Richard's pattern: 1, 4, 15, 46, 139
Heather's pattern: 1, 8, 22, 50, 106

So, the first five ordered pairs are:

(1, 1)
(4, 8)
(15, 22)
(46, 50)
(139, 106)

Therefore, the first five ordered pairs with the x-coordinate representing the numbers in Richard's pattern and the y-coordinate representing the corresponding numbers in Heather's pattern are (1, 1), (4, 8), (15, 22), (46, 50), and (139, 106).