# Find the Sum of n terms of Harmonic Sequence a = 2, n=9, and d=2

Utilize ourHarmonic sequence calculator tool for finding the sum of n terms of harmonic sequence when n=9, a=2, and d = 2 easily and quickly. So that you will get the result of 1/90.0.

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 = 2

n = 9

d = 2

Put values into formula

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

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

S9 = 1.47222

## How to Find the Sum of N terms of Harmonic Sequence of a = 2, n=9, and d=2?

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 = 2, n=9, and d=2.
• 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*2 + (9 − 1) × 2].
• Simplify the equation, i.e., Sn = 9/2[2*2 + (9-1) × 2] = 90.0
• At last , the sum of n terms of Arithmetic progression is 90.0.
• Finally, the result of sum of n terms of Harmonic sequence is 1/90.0

## FAQs on Computing Sum of N terms for Harmonic Sequence for a = 2, n=9, and d=2

1. How to find the sum of n terms of harmonic sequence for a = 2, n=9, and d=2?

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 = 2, n=9, and d=2?

sum of n terms of harmonic sequence for a = 2, n=9, and d=2 is 1/90.0.

3. Where can I find the step by step process for sum of n terms of harmonic sequence a = 2, n=9, and d=2?

You can find the detailed steps for sum of n terms of harmonic sequence a = 2, n=9, and d=2 on our page.