3, 1.5, 0, –1.5, –3, ____, ____, ____
after write me a recursive function for the sequence.
tell me the constant difference of the sequence.
and the explict function for the sequence.
The sequence you provided is: 3, 1.5, 0, -1.5, -3, ____, ____, ____
The constant difference between each term is -1.5.
To find the next terms in the sequence, we can observe that each term is obtained by subtracting 1.5 from the previous term.
To write a recursive function for the sequence, we can define a function that takes an input n (the position of the term in the sequence) and returns the value at that position:
```python
def recursive_sequence(n):
if n == 1:
return 3
elif n == 2:
return 1.5
else:
return recursive_sequence(n-1) - 1.5
```
In this recursive function, the base cases are set for the first two terms of the sequence. For positions greater than 2, we recursively call the function itself with n-1 and subtract 1.5 from the previous term.
Explicit function for the sequence:
The explicit function for this sequence is:
a(n) = 3 - (n-1) * 1.5, where n is the position of the term in the sequence.