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Find nth term of Harmonic Sequence a = 1, n=10, and d=3

Free Harmonic Sequence Calculator finds the nth term of harmonic sequence when a = 1, n=10, and d=3 in a fraction of seconds.

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

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 = 1

n = 10

d = 3

Put values into formula

a10 = `1/(a + (n-1) *d )`

a10 =`1/(1 + (10-1) *3 )`

a10 = 0.03571

How to Find the nth Term of Harmonic Sequence a = 1, n=10, and d=3?

Go through the detailed steps to calculate the nth term of harmonic sequence when a = 1, n=10, and d=3.

  • Note down the input values such as a = 1, n=10, and d=3
  • 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

Find nth term of HP when a = 5, d = 3 and n = 8
Find nth term of HP when a = 2, d = 5 and n = 11
Find nth term of HP when a = 2, d = 3 and n = 8
Find nth term of HP when a = 3, d = 4 and n = 11
Find nth term of HP when a = 3, d = 2 and n = 11
Find nth term of HP when a = 4, d = 4 and n = 7
Find nth term of HP when a = 1, d = 2 and n = 11
Find nth term of HP when a = 1, d = 3 and n = 10
Find nth term of HP when a = 2, d = 2 and n = 6
Find nth term of HP when a = 1, d = 2 and n = 6

FAQs on Finding the Harmonic Sequence nth Term a = 1, n=10, and d=3

1. What is the nth term of the harmonic sequence a = 1, n=10, and d=3?

The value of the 5th term of the harmonic sequence a = 1, n=10, and d=3 is 0.03571.

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 = 1, n=10, and d=3?

The simple step is place the first term a = 1, total number of terms n = 10 and common difference d = 3 in the formula an = 1/[a + (n - 1)d] i.e a5 = 1/[1 + (10 - 1)3] = 0.03571.