Answer:
Firstly, to create a sequence we need our natural numbers which will stand for our n and the pattern created will be f(n). where n = 1, 2, 3, 4, . . .
1. If we have f(n) = n + 1, then our sequence would be 2, 4, 5, 6, . . . with a pattern of adding 1 to our n.
2. If we have f(n) = n x 2, then our sequence would be 1, 4, 6, 8, . . . with a pattern of multiplying 2 by our n.
3. If we have f(n) = n + 2 when n is odd and n - 1 when even, then we have 3, 1, 5, 3, . . . as our sequence following the add subtraction pattern.
4. if we have f(n) = n x 2 when n is odd and n/1 when n is even, then we have 2, 4, 10, 6, . . .
