Find nth term of Harmonic Sequence a = 3, n=10, and d=2
Created By : Abhinandan Kumar
Reviewed By : Phani Ponnapalli
Last Updated : Mar 23, 2023
Free Harmonic Sequence Calculator finds the nth term of harmonic sequence when a = 3, n=10, and d=2 in a fraction of seconds.
10th Term of Harmonic Sequence a = 3, n=10, and d=2 is 0.04762
Steps to find nth term of harmonic sequence:
nth term of harmonic sequence formula:-
an = `1/(a + (n-1) *d )`
where:
- an is the nth term
- a is first term
- n is total number of terms
- d is common difference
Input values are:-
a = 3
n = 10
d = 2
Put values into formula
a10 = `1/(a + (n-1) *d )`
a10 =`1/(3 + (10-1) *2 )`
a10 = 0.04762
Go through the detailed steps to calculate the nth term of harmonic sequence when a = 3, n=10, and d=2.
- Note down the input values such as a = 3, n=10, and d=2
- Substitute the values in the nth term of harmonic sequence formula i.e an = 1/[a + (n - 1) . d]
- Solve the equation to know the given harmonic sequence nth term value.
Example for Finding nth term of Harmonic Sequence
FAQs on Finding the Harmonic Sequence nth Term a = 3, n=10, and d=2
1. What is the nth term of the harmonic sequence a = 3, n=10, and d=2?
The value of the 5th term of the harmonic sequence a = 3, n=10, and d=2 is 0.04762.
2. What is the formula of the nth term of the harmonic sequence?
Nth term of Harmonic Progression HP formula is an = 1/[a + (n - 1)d].
3. How do you find the nth term of a harmonic sequence a = 3, n=10, and d=2?
The simple step is place the first term a = 3, total number of terms n = 10 and common difference d = 2 in the formula an = 1/[a + (n - 1)d] i.e a5 = 1/[3 + (10 - 1)2] = 0.04762.