Question

What are some sequences with this formula? un + 1 = un - 5 and u0 = 12

Answer 1

The sequence generated by the formula un + 1 = un - 5 and u0 = 12 starts with the terms 12, 7, 2, -3, and so on.

Step-by-step explanation:

In this sequence, the formula to generate each term is un + 1 = un - 5 and u0 = 12. Let's find the first few terms of this sequence:

1. u1 = u0 - 5 = 12 - 5 = 7
2. u2 = u1 - 5 = 7 - 5 = 2
3. u3 = u2 - 5 = 2 - 5 = -3

So, the first few terms of this sequence are 12, 7, 2, -3, and so on.