Which of the following statements about harmonic progression is false?

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Question: Which of the following statements about harmonic progression is false?

Options:

Correct Answer: The terms can be zero

Solution:

In a harmonic progression, terms cannot be zero as it would make the reciprocal undefined.

Which of the following statements about harmonic progression is false?

Which of the following statements about harmonic progression is false?

Step 1: Understand what a harmonic progression is. It is a sequence of numbers where the reciprocals of the terms form an arithmetic progression.
Step 2: Recall that in a harmonic progression, if any term is zero, its reciprocal (1/term) would be undefined.
Step 3: Identify that having a term equal to zero in a harmonic progression is not allowed because it breaks the definition.
Step 4: Conclude that any statement claiming that a term in a harmonic progression can be zero is false.

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