Question

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

Answer 1

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

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)