Find nth term of Harmonic Sequence a = 5.0, n=10, and d=3.0
Free Harmonic Sequence Calculator finds the nth term of harmonic sequence when a = 5.0, n=10, and d=3.0 in a fraction of seconds.
10th Term of Harmonic Sequence a = 5.0, n=10, and d=3.0 is 0.03125
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 = 5.0
n = 10
d = 3.0
Put values into formula
a10 = `1/(a + (n-1) *d )`
a10 =`1/(5.0 + (10-1) *3.0 )`
a10 = 0.03125
Go through the detailed steps to calculate the nth term of harmonic sequence when a = 5.0, n=10, and d=3.0.
- Note down the input values such as a = 5.0, n=10, and d=3.0
- 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 = 5.0, n=10, and d=3.0
1. What is the nth term of the harmonic sequence a = 5.0, n=10, and d=3.0?
The value of the 5th term of the harmonic sequence a = 5.0, n=10, and d=3.0 is 0.03125.
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 = 5.0, n=10, and d=3.0?
The simple step is place the first term a = 5.0, total number of terms n = 10 and common difference d = 3.0 in the formula an = 1/[a + (n - 1)d] i.e a5 = 1/[5.0 + (10 - 1)3.0] = 0.03125.