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Madhava's series for π is π = 4 − 4/3 + 4/5 − 4/7 + … . Approximating π using only the first FOUR terms gives:
A≈ 2.90
B≈ 3.14
C≈ 3.34
D≈ 4.00
Answer & Solution
Correct answer: C. ≈ 3.34
First 4 terms: 4 − 4/3 + 4/5 − 4/7 = 4 − 1.333... + 0.8 − 0.571... ≈ 4 − 1.333 + 0.8 − 0.571 ≈ 2.896. Hmm — closer to 2.90. Wait, let me recompute: 4 − 1.333 = 2.667 + 0.8 = 3.467 − 0.571 = 2.896. So actually ≈ 2.90. (The series converges very slowly — needs many more terms to approach π = 3.14159…)
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