Consider Theon's formula Xn+1 = Xn + Yn Yn+1 = a xn + Yn And let yn √a xn Answer the following question: A sequence {n} of real numbers that converges to a number L is said to converge with linear rate of convergence r if 0 < r < 1 and limn→∞ n+1-L = r. Prove that sequences produced with Theon's algorithm converge with linear rate of convergence r = √a-1 √a+1*

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Q: find if it converges ∑∞ n=0((4n)!(1103+26390n))/(3964n (n!))  (show each step please)

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Q: show that this converges 2srt(2)/(9801) ∑∞ n=0((4n)!(1103+26390n))/(3964n (n!)) = 1/pie (show each…

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