Web6 May 2011 · 1 The function below accepts an integer n and returns the sum of the first n reciprocals. sum (2) should return 1.5 Here is what I have: public double sum (int n) { if (n < 0) { throw new IllegalArgumentException ("Illegal Power Argument"); } double zero = 0.0; if (n == 0) return zero; else return (1/n) + sum (n-1); } WebThe reciprocal Fibonacci constant, or ψ, is defined as the sum of the reciprocals of the Fibonacci numbers : The ratio of successive terms in this sum tends to the reciprocal of …
If S is the sum of the reciprocals of the consecutive integers from …
Web24 Mar 2024 · In 1932, Erdős proved that the sum of the reciprocals of any number of equally spaced integers is never a reciprocal. Nontrivial sets of integers are known whose reciprocals sum to small integers. For example, there exists a set of 366 positive integers (with maximum 992) whose sum of reciprocals is exactly 2 (Mackenzie 1997; Martin). A ... WebThe reciprocal Fibonacci constant, or ψ, is defined as the sum of the reciprocals of the Fibonacci numbers : The ratio of successive terms in this sum tends to the reciprocal of the golden ratio. Since this is less than 1, the ratio test shows that the sum converges . The value of ψ is known to be approximately. (sequence A079586 in the OEIS ). magellan 9800i error codes
List of sums of reciprocals - Wikipedia
Web21 Mar 2024 · from itertools import combinations def product (iterable): prod = 1 for item in iterable: prod *= item return prod my_list = [2, 3, 5, 7] n = len (my_list) numerator = sum (product (combo) for combo in combinations (my_list, n-1)) denominator = product (my_list) Then, you can compare numerator >= denominator instead of fraction >= 1 The sum of the reciprocals of the numbers in prime quadruplets is approximately 0.8706. The sum of the reciprocals of the perfect powers (including duplicates) is 1. The sum of the reciprocals of the perfect powers (excluding duplicates) is approximately 0.8745. See more In mathematics and especially number theory, the sum of reciprocals generally is computed for the reciprocals of some or all of the positive integers (counting numbers)—that is, it is generally the sum of See more • Large set • Sum of squares • Sums of powers See more • The harmonic mean of a set of positive integers is the number of numbers times the reciprocal of the sum of their reciprocals. See more Convergent series • A sum-free sequence of increasing positive integers is one for which no number is the sum of any subset of the previous ones. The … See more WebIf no exception is thrown, the program calculates the sum of the reciprocals and assigns the result to a variable res. It then prints out the result along with a message that indicates which value of n was used in the calculation using System.out.println("Sum of first " + n + " reciprocals is " + res). magellan 8500 scale