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## What is the meaning of harmonic sequence?

Harmonic sequence, in mathematics, **a sequence of numbers a _{1}, a_{2}, a_{3}**,… such that their reciprocals 1/a

_{1}, 1/a

_{2}, 1/a

_{3},… … The sum of a sequence is known as a series, and the harmonic series is an example of an infinite series that does not converge to any limit.

## What is the formula for harmonic mean?

The harmonic mean is a type of numerical average. It is calculated by **dividing the number of observations by the reciprocal of each number in the series**. Thus, the harmonic mean is the reciprocal of the arithmetic mean of the reciprocals. The harmonic mean of 1, 4, and 4 is: 3 ( 1 1 + 1 4 + 1 4 ) = 3 1 .

## How do you solve harmonics?

Harmonic Mean: Harmonic mean is calculated as the reciprocal of the arithmetic mean of the reciprocals. The formula to calculate the harmonic mean is given by: **Harmonic Mean = n /[(1/a) + (1/b)+ (1/c)+(1/d)+**….]

## How is harmonic number calculated?

The harmonic numbers appear in expressions for integer values of the digamma function: **ψ ( n ) = H n − 1 − γ .** **psi(n) = H_{n-1} –** gamma. ψ(n)=Hn−1−γ.

## What is 9th term?

To determine the ninth term of an arithmetic sequence, we will use the general formula for the nth of an arithmetic sequence [a,(a+d),(a+2d),⋯⋯] [ a , ( a + d ) , ( a + 2 d ) , ⋯ ⋯ ] .

## What is the sum of infinite harmonic series?

is called the harmonic series, and it has terms that tend to zero. But the sequence of partial sums for this series tends to infinity. So this series **does not have a sum**. The n-th partial sum of a series is the sum of the first n terms.