Dynamic programming is a technique of solving a problem by first solving the smallest version of that problem, and using that result to solve the next smallest version, until arriving at the original problem.

For example, to calculate the factorial of 5, first get the factorial of 1, which is given, and multiply that by 2 to get the factorial of 2. Then multiply that result by 3 to get the factorial of 3, etc.

Project 1: Fibonacci Sequence
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Hint: Make an array to store each term. Initialize the array with the first two terms, and use a loop to add more terms to the array.

Project 2: Calculating Pi
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Hint: Calculate the circumference of the inscribed polygons.

Project 3: Finding Primes
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Hint: Use the sieve of Eratosthenes.

Project 4: Calculating Square Roots
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Hint: Use the long division method.

Project 5: Pascal's Triangle
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