**Challenge 1: FizzBuzz**

FizzBuzz is a classic coding challenge that serves as an excellent warm-up exercise. The task is simple: write a program that prints the numbers from 1 to n, but for multiples of three, print “Fizz” instead of the number, and for multiples of five, print “Buzz”. For numbers which are multiples of both three and five, print “FizzBuzz”.

```
def fizzbuzz(n):
for i in range(1, n+1):
if i % 3 == 0 and i % 5 == 0:
print("FizzBuzz")
elif i % 3 == 0:
print("Fizz")
elif i % 5 == 0:
print("Buzz")
else:
print(i)
fizzbuzz(15)
```

**Challenge 2: Palindrome Checker**

A palindrome is a word, phrase, number, or other sequence of characters that reads the same forward and backward. In this challenge, your task is to write a function that checks whether a given string is a palindrome.

```
def is_palindrome(s):
s = s.lower() # Convert to lowercase for case-insensitivity
return s == s[::-1]
print(is_palindrome("radar")) # True
print(is_palindrome("hello")) # False
```

**Challenge 3: Fibonacci Sequence**

The Fibonacci sequence is a series of numbers where each number is the sum of the two preceding ones, usually starting with 0 and 1. Your challenge is to write a function that generates the Fibonacci sequence up to a specified limit.

```
def fibonacci(n):
fib_sequence = [0, 1]
while fib_sequence[-1] + fib_sequence[-2] <= n:
fib_sequence.append(fib_sequence[-1] + fib_sequence[-2])
return fib_sequence
print(fibonacci(100)) # [0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89]
```

**Challenge 4: Sum of Multiples**

Write a function that computes the sum of all the multiples of 3 or 5 below a given number n. For example, if n is 10, the sum of multiples of 3 or 5 below 10 is 3 + 5 + 6 + 9 = 23.

```
def sum_of_multiples(n):
total = 0
for i in range(n):
if i % 3 == 0 or i % 5 == 0:
total += i
return total
print(sum_of_multiples(10)) # 23
```

These challenges are not only great for honing your programming skills but also for building problem-solving intuition. As you tackle each challenge, take the time to understand the underlying concepts and explore different approaches to solving them. Happy coding!