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Answer :
Final answer:
In an Arithmetic Progression (AP), terms are derived by adding the common difference to the previous term, which explains why y - 6 = z - 1, assuming the common difference is 5. The correct option c.
Explanation:
If x, y, z are in AP (Arithmetic Progression), then it is correct to say that yminus 6 equals z minus 1. This is because in an arithmetic progression, every term is obtained by adding the common difference to the previous term. The common difference is the consistent amount that each term in the sequence increases (or decreases) by. Therefore, if y is followed by z in an arithmetic progression, and the common difference is d, then z = y + d. If the common difference in this case is 5, then we can write that y + 5 = z. If we subtract 6 from both sides of the equation y, we get y - 6, and subtracting 1 from both sides of z, we get z - 1, which shows the given relation y - 6 = z - 1 is due to adding the common difference in an arithmetic progression.
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