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Following the rules the coordinate pairs are: (1,0), (5,1), (17,3), (53,7), (161,15)

Step-by-step 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)

step-by-step explanation: given equation a = h(b 1+b 2)

also we are given values of a, h and b 1 as :

a = 16, h = 4, and b 1 = 3.

in order to solve it for b 2, we need to plug the given values of   a, h and b 1 .

therefore, plugging values of   a, h and b 1   in given equation, we get

16 = 4( 3 + b 2)

first dividing both sides by 4, we get

4 = 3 + b 2

subtracting 3 from both sides, we get

4 -3 = 3 -3 + b 2

1 = b 2.