# Find the Sum of n terms of Harmonic Sequence a = 4, n=9, and d=3

Utilize ourHarmonic sequence calculator tool for finding the sum of n terms of harmonic sequence when n=9, a=4, and d = 3 easily and quickly. So that you will get the result of 1/144.0.

First term [a]:
common difference[d]:
Total terms[n]:

### Steps to find sum of n terms of harmonic sequence:

sum of n terms of harmonic sequence formula:-

where:
• sn is the sum of n terms
• a is first term
• n is total number of terms
• d is common difference
Input values are:-

a = 4

n = 9

d = 3

Put values into formula

S9 = (1/d)*ln( (2*a+(2*n-1)*d)/(2*a-d) )

S9 = (1/3)*ln( (2*4+(2*9-1)*3)/(2*4-3) )

S9 = 0.8227

## How to Find the Sum of N terms of Harmonic Sequence of a = 4, n=9, and d=3?

Following are the step by step process to find the sum of N terms in a harmonic sequence easily by hand.

• Firstly, Write down the values that were given in the problem, such as a = 4, n=9, and d=3.
• As we know that arithmetic progression is the reciprocal of harmonic progression.
• Apply the formula of sum of n term of Arithmetic Progression, i.e., Sn = n/2[2a + (n − 1) × d]
• Substitute the values in the formula, i.e., Sn = 9/2[2*4 + (9 − 1) × 3].
• Simplify the equation, i.e., Sn = 9/2[2*4 + (9-1) × 3] = 144.0
• At last , the sum of n terms of Arithmetic progression is 144.0.
• Finally, the result of sum of n terms of Harmonic sequence is 1/144.0

## FAQs on Computing Sum of N terms for Harmonic Sequence for a = 4, n=9, and d=3

1. How to find the sum of n terms of harmonic sequence for a = 4, n=9, and d=3?

As we know that the reciprocal of arithmetic progression is the harmonic sequence, find the sum of n terms of arithmetic progression and then make a reciprocal. So that you will get the sum of n terms of harmonic sequence.

2. What is the sum of n terms of harmonic sequence for a = 4, n=9, and d=3?

sum of n terms of harmonic sequence for a = 4, n=9, and d=3 is 1/144.0.

3. Where can I find the step by step process for sum of n terms of harmonic sequence a = 4, n=9, and d=3?

You can find the detailed steps for sum of n terms of harmonic sequence a = 4, n=9, and d=3 on our page.