the Mallows' Sequence, which looks like this: (1, 1, 2, 3, 3, 4, 5, 6, 6, 7, 7, 8, 9, 10, 10, 11, 12, 12, 13, 14,...) 2. Define the sequence in three different ways. Listing the terms of the sequence: 1, 1, 2, 3, 3, 4, 5, 6, 6, 7, 7, 8, 9, 10, 10, 11, 12, 12, 13, 14 Recursive Formula: a(n) = a(a(n-2))+a(n-a(n-2)) with a(1)=0, a(2)=1 which can also be expressed as: a(1)=0, a(2)=1, a(n+3)= a(a(n+1))+a((n+3)-a(n+3)) 3. Determine if your sequence is arithmetic, geometric, or neither. This sequence is neither arithmetic.or geometric because the sequence does not differ by a constant, and the ratio between successive terms is not constant. 4. Discuss which representation of the sequence is best in this case, and why. I think listing the terms is easier to detect, after two consecutive number there is two identical numbers. I