The given recursive formula for the sequence is:

$a_{n+1} = -0.25 + a_n$ with $a_1 = 5$ and $n$ being a whole number greater than 1. We need to find the first 5 terms of the sequence.

Step-by-step calculation:

1. First term: $a_1 = 5$

2. Second term: $a_2 = a_1 + (-0.25) = 5 - 0.25 = 4.75$

3. Third term: $a_3 = a_2 + (-0.25) = 4.75 - 0.25 = 4.5$

4. Fourth term: $a_4 = a_3 + (-0.25) = 4.5 - 0.25 = 4.25$

5. Fifth term: $a_5 = a_4 + (-0.25) = 4.25 - 0.25 = 4$

The first 5 terms of the sequence are:

$5, 4.75, 4.5, 4.25, 4$

Would you like further details on any part of this process or have any additional questions?

Here are 5 related questions to expand on the topic:

1. How would you find the 10th term of this sequence?
2. What type of sequence does this formula represent (arithmetic, geometric, etc.)?
3. What is the general formula for the $n$-th term of this sequence?
4. How does the recursive nature of sequences differ from explicit formulas?
5. What happens to the sequence as $n$ approaches infinity?

Tip: In recursive sequences, each term depends on the previous one. Knowing the base term is crucial for calculating the following terms.