112k views
2 votes
Write an expression representing the value of the 8th harmonic number.

User Shirakia
by
6.7k points

1 Answer

4 votes

Final answer:

The 8th harmonic number can be represented by the expression: H8 = 1 + 1/2 + 1/3 + ... + 1/8

Step-by-step explanation:

The harmonic number is a mathematical concept denoted by H_n, where n is a positive integer. The harmonic number is defined as the sum of the reciprocals of the first n natural numbers.

The 8th harmonic number can be represented by the expression:

H8 = 1 + 1/2 + 1/3 + ... + 1/n

Plugging in the value of 8, we get:
H8 = 1 + 1/2 + 1/3 + ... + 1/8

Calculating the value of this sum gives us the value of the 8th harmonic number.

User Ben Kovitz
by
7.3k points