In mathematics, the nth harmonic number is defined to be 1 + 1/2 + 1/3 + 1/4 + + 1/n. so, the first harmonic number is 1, the second is 1.5, the third is 1. and so on. assume that n is an integer variable whose value is some positive integer n. assume also that cl is a variable whose value is the nth harmonic number. write an expression whose value is the (n+1)th harmonic number.

The expression value is .

Assume that is an integer variable whose value is some positive integer .

Assume also that is a variable whose value is the harmonic number.

An expression whose value is the harmonic number is .

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cl   +   1/(N+1)

Step-by-step explanation:

If we assume that the Nth harmonic number is cl. Then we are assuming that 1+1/2+1/3+1/4+...+1/N=cl

And we know that the (N+1)th harmonic number can be found by doing

1+1/2+1/3+1/4+...+1/N+1/(N+1)

=cl    +   1/(N+1)

The (N+1)th harmonic number is cl   +   1/(N+1) given that the Nth term is cl

Other way to see the answers:

Maybe you want to write it as a single fraction so you have

[cl(N+1)+1]/(N+1)=[cl*N+cl+1]/(N+1)

idk

step-by-step explanation:

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