Answer:
Following the rules the coordinate pairs are: (1,0), (5,1), (17,3), (53,7), (161,15)
Explanation:
Nicole's Pattern: Multiply by 3 then add 2, starting from 1
Ion's Pattern: Add 1/2 then multiply by 2 starting from 0
So, Nicole's pattern is generated starting from 1, we multiply by 3 and then add 2 to get the next number
While Ion's pattern is generated starting from 0, we add 1/2 to it and then multiply by 2 to get the next number
Nicole's Pattern Ion's Pattern Coordinate pairs
1 0 (1,0)
5 1 (5,1)
17 3 (17,3)
53 7 (53,7)
161 15 (161,15)