1. For sequence A, describe in words a way to produce each new term from the previous term.2. If these sequences continue, which will be greater A(9) or B(9)? Explain or show how you know.

If you compare the terms 1 and 2, you can see that the second term is the previous term multiplied by 4. Also, you can observe the same if you compare terms 2 and 3.

So, to produce each term from the previous term, multiply the previous term by 4.

Part 2: Comparing both sequences.

We already know how to find the terms of sequence A (part 1).

To find the terms of sequence B, observe the graph and then you can see that a term is its previous term plus 2.

Knowing that you can find the terms of the sequence and compare A(9) and B(9)

Term number A B

4 64 10

5 64*4 = 256 10+2 = 12

6 256*4 = 1024 12+2 = 14

7 1024*4 = 4096 14+2 = 16

8 4096*4 = 16384 16+2 = 18

9 16384*4 = 65536 18+2 = 20

As can be noted, if the sequences continue A(9) will be greater then B(9), since A(9) = 65536 and B(9) = 20.