Perform calculations related to the sum of unit fractions.
Author: shiroeExecutions: 57
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Enter the number of terms, n, to specify it.
Enter an integer greater than or equal to 1.
Enter each denominator cn (n=1, 2, …, 20) on the right-hand side. (The "n" in cn is a subscript.)
Enter a positive value that is not zero.
When the number of terms n is specified, the denominator C on the left-hand side is calculated using only the terms c1 through cn.
Any entries in the cn input fields for n+1 through n20 will be ignored.
No output will be generated if numerical values outside the specified range are entered.
The output is the denominator C on the left-hand side.
Enter an integer greater than or equal to 1.
Enter each denominator cn (n=1, 2, …, 20) on the right-hand side. (The "n" in cn is a subscript.)
Enter a positive value that is not zero.
When the number of terms n is specified, the denominator C on the left-hand side is calculated using only the terms c1 through cn.
Any entries in the cn input fields for n+1 through n20 will be ignored.
No output will be generated if numerical values outside the specified range are entered.
The output is the denominator C on the left-hand side.
| Number of terms n (selected value) | |
| C | Denominator on the left-hand side |
R6 (2024).08/07 (Wed)_Ver.001
Digit display setting: 50 digits. Fixed digits.
Real number calculation mode.
Digit display setting: 50 digits. Fixed digits.
Real number calculation mode.
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In electromagnetism, the formulas for the equivalent capacitance in a series circuit and the equivalent resistance in a parallel circuit take the form:
1/R = (1/r1) + (1/r2) + … + (1/rn),
1/C = (1/c1) + (1/c2) + … + (1/cn)
—equations where both the left and right sides consist of unit fractions. (A unit fraction is a fraction with a numerator of 1.)
Here, we will handle up to 20 terms on the right side. We will determine the denominator on the left side.