If n = 12 m (me N), prove that "C₂ (2+√3)² "Co- - + "C4 (2+√√3)4 n "C6 (2+√3)6 ·+···=(-

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Q: For the following alternating series, ∞∑n=1an=1−1/10+1/100−1/1000+...

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Q: (a pour) = (d(1) a) +...+ d& T dG T dl) +04+ mos ad ppo desta sedang

A: Here we use that (p-i)^p=-(i^p) in mod p. We proof this by binomial expansion.

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Q: Consider the ordered bases B₁ = {(−1, 1, 0), (0, 1, 1), (1, 0, 0)} of R³ and B₂ = {(1, 2), (1, −1)}…

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Q: 5 me cap of the sphere x² + y² + z² =25, for 2 ≤z≤5

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Q: 5. Given the system of equations x12x2 + x3 x4 = -2 -2x1 + 5x2x3 + 4x4 = 1 3x17x2 + 2x3 - 5x4 = 9…

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