Number theory

Completely respond to all three parts of this discussion forum. The following is the set of Multiples of 2 in Base 5. {2., 4., 11,, 13,, 20., 22,, 24,, 31,, 33. .) 1.) Give the next five Multiples of 2 in Base 5 and explain how you came up with them. 2.) Look for a pattern in the set of Multiples of 2 in Base 5 and devise a divisibility test for 2 in Base 5. That is, what makes a Base 5 number divisible by 2 in Base 5? Note: to be divisible by 2, we know the quantity represented by the numeral can be broken into 2 equal size groups. Here, I am looking for you to come up with a way to predict just by looking at the Base 5 numeral whether or not it will be divisible by 2. 3.) Regardless of how confident you feel about your divisibility test from number 2 above, describe what you have learned from exploring this