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Exercise: Compute Pi

Explore how to compute an approximate value of Pi using Ruby by implementing a series formula. This lesson helps you practice writing loops and arithmetic operations, and comparing your output with Ruby's built-in Math::PI. Understand how to limit terms for approximation and enhance your problem-solving skills with Ruby's syntax.

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Compute Pi

Write a program to compute the value of π \pi  based on the formula below:

    π=4×(113+1517+19111+113115+...)\pi = 4 \times ( 1 - \frac{1}{3} + \frac{1}{5} - \frac{1}{7} + \frac{1}{9} - \frac{1}{11} + \frac{1}{13} - \frac{1}{15} + ... ) ...