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1. Given this sequence of numbers:

9 13 19 27 37

a) What is the next number?

b) Write in your own word an algorithm to solve this problem for any numbers.

2. Let’s say we have the following sequence:

n=1 S=9

n=2 S=13

n=3 S =19

n=4 S = 27

n=5 S = 37

What is the value of S for n = 0 and n = 10? Explain how you get your answers.