In a harmonic progression, if the first term is a and the second term is b, what

In a harmonic progression, if the first term is a and the second term is b, what is the formula for the nth term?

In a harmonic progression, if the first term is a and the second term is b, what is the formula for the nth term?

Step 1: Understand that a harmonic progression (HP) is a sequence of numbers where the reciprocals of the terms form an arithmetic progression (AP).
Step 2: Identify the first term of the HP as 'a' and the second term as 'b'.
Step 3: Find the reciprocals of the first two terms: 1/a and 1/b.
Step 4: Calculate the common difference 'd' of the corresponding arithmetic progression (AP) using the formula: d = (1/b) - (1/a).
Step 5: The nth term of the HP can be expressed in terms of the first term and the common difference: nth term = 1/(1/a + (n-1)d).
Step 6: Substitute 'd' into the formula to get the final expression for the nth term of the harmonic progression.

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