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The formula for the sum of the series r(1/n2-1/n2) is r(1-1/n2).

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6mo ago

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What is the equivalent capacitance when capacitors are connected in parallel and series?

When capacitors are connected in parallel, the equivalent capacitance is the sum of the individual capacitances. When capacitors are connected in series, the equivalent capacitance is the reciprocal of the sum of the reciprocals of the individual capacitances.


What is the Center of balance formula?

The center of balance formula calculates the point at which the sum of the moments of the forces acting on a system is zero. It is expressed as ΣF * d = 0, where ΣF is the sum of the forces and d is the distance from the pivot point. By setting the sum of the moments to zero, you can determine the location of the center of balance in the system.


What is the formula for calculating the uncertainty weighted average of a set of data points?

The formula for calculating the uncertainty weighted average of a set of data points is to multiply each data point by its corresponding uncertainty, sum these products, and then divide by the sum of the uncertainties.


What is the equivalent capacitance in a series circuit of capacitors?

In a series circuit of capacitors, the equivalent capacitance is calculated by adding the reciprocals of the individual capacitances and taking the reciprocal of the sum. The formula is 1/Ceq 1/C1 1/C2 1/C3 ... where Ceq is the equivalent capacitance and C1, C2, C3, etc. are the individual capacitances.


What is the mass defect formula used to calculate the difference in mass between the nucleus of an atom and the sum of its individual nucleons?

The mass defect formula is used to calculate the difference in mass between the nucleus of an atom and the sum of its individual nucleons. It is calculated by subtracting the actual mass of the nucleus from the sum of the masses of its individual protons and neutrons.

Related Questions

What is the formula for the sum of an infinite geometric series?

your face thermlscghe eugbcrubah


Write a program to find the sum of sine series?

Writing a program for a sum of sine series requires a rather long formula. That formula is: #include #include #include main() { int i,n,x; .


What is the sum of the multiples of 4 up to 200?

If you don't want to add them one by one, you can use the formula for the sum of an arithmetic series.


What is the sum of the arithmetic series below?

To calculate the sum of an arithmetic series, you can use the formula ( S_n = \frac{n}{2} (a + l) ), where ( S_n ) is the sum, ( n ) is the number of terms, ( a ) is the first term, and ( l ) is the last term. If you provide the specific details of the series, I can help compute the sum directly.


What is the formula for sum of the cubes?

The formula for the sum of a series of cubes is as follows: 13 + 23 + 33 + ... + n3 = [n2*(n+1)2]/4 You may notice that this is the same as the square of the sum 1 + 2 + 3 + ... + n.


What is the sum of all positive two-digit odd integers?

You can use the formula for an arithmetic series for that.


What is the sum to n terms of the series 1.4 3.7 5.10?

The given series appears to follow a pattern where each term can be expressed in the form of a quadratic sequence. The nth term can be represented as ( a_n = n(3n - 2) ). To find the sum of the first n terms, ( S_n ), we can derive it from the formula for the sum of a quadratic sequence, leading to ( S_n = \frac{n}{6}(n + 1)(n + 2) ). Thus, the sum to n terms of the series is given by this formula.


Why is there no formula in getting the sum of a harmonic sequence?

A harmonic sequence is defined as a sequence of the form ( a_n = \frac{1}{n} ), where ( n ) is a positive integer. The sum of a harmonic series, ( \sum_{n=1}^{N} \frac{1}{n} ), diverges as ( N ) approaches infinity, meaning it grows without bound. Unlike arithmetic or geometric series, which have closed-form sums due to their consistent growth patterns, the harmonic series does not converge to a finite limit, making it impossible to express its sum with a simple formula. Thus, while there are approximations (like the use of logarithms), there is no exact formula for the sum of an infinite harmonic series.


What is the sum of the first 35 consective odd numbers?

The idea here is to use the formula for the sum of an arithmetic series. In this case, the starting number is of course 1; the interval is 2.


What is the sum of even numbers less than 28?

Just do the additions. Or, if you want a shortcut, use the formula for an arithmetic series.


Find the sum of first 20 even numbers. sum?

The sum of the first 20 even numbers... is 110


What is the formula for arithmetic sum?

=sum()