Step 7: Add (1/6) to both sides to isolate (1/x): (1/x) = -1/6 + 1/6 = 0.
Step 8: Since we made a mistake in the previous steps, let's correct it: Instead, we should have (1/6) - (1/3) = (1/x) - (1/6) gives us (1/x) = (1/6) + (1/6) = 2/6 = 1/3.
Step 9: Now, take the reciprocal of both sides: x = 3.
Harmonic Progression – A sequence of numbers is in harmonic progression if the reciprocals of the terms form an arithmetic progression.
Arithmetic Progression – A sequence of numbers is in arithmetic progression if the difference between consecutive terms is constant.
Reciprocal Relationships – Understanding how to manipulate and relate the reciprocals of numbers in sequences.
