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Write algorithms and a program to determine which of a sequence of integers is a “perfect...

Write algorithms and a program to determine which of a sequence of integers is a “perfect number” and then compute the square root (√) of those perfect numbers.The calculation of the square root (√) will be done as the sum of an infinite series: ∞ √S = ∑ xn+1 = 1/2(xn + S/xn) n=0 where x0 is the initial “guess”

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