Create a number sequence that has a first term equal to - 10 and has a recursive rule of subtract 2

The number sequence is - 10, - 12, - 14, - 16, ...

Step-by-step explanation:

The sequence has - 10 as the first term.

So, f (0) = - 10 and the recursive rule of the function is of subtract 2.

Hence, f (n + 1) = f (n) - 2 ... (1)

Now, putting n = 1 in equation (1) we get, f (1) = f (0) - 2 = - 10 - 2 = - 12

Again, putting n = 2, we get, f (2) = f (1) - 2 = - 14

Now, putting n = 3, we get, f (3) = f (2) - 2 = - 16 and so on.

Therefore, the number sequence is - 10, - 12, - 14, - 16, ... (Answer)