1. The problem is: write a simple Python loop for a Fibonacci sequence.
2. The Fibonacci rule is:
$$F_0=0,\; F_1=1,\; F_n=F_{n-1}+F_{n-2}$$
3. A loop keeps track of the previous two numbers and updates them each time.
4. Here is a simple Python loop that prints the first $n$ Fibonacci numbers:
```python
n = 10
a, b = 0, 1
for _ in range(n):
print(a)
a, b = b, a + b
```
5. How it works:
- Start with $a=0$ and $b=1$.
- Print $a$.
- Move forward by setting $a=b$ and $b=a+b$.
- Repeat this $n$ times.
6. If you want, you can also store the sequence in a list:
```python
n = 10
fib = []
a, b = 0, 1
for _ in range(n):
fib.append(a)
a, b = b, a + b
print(fib)
```
7. Final answer: a simple loop uses two variables and updates them each step to generate the Fibonacci sequence.
Fibonacci Loop Fa803F
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.