If x, y and z are in A.P, which of the following relations among the numbers is/are correct?

(y - x) = (z - y)

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x + y = 2z

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2x = y + z

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2y = x + z

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Solution

The correct options are
A (y - x) = (z - y)
D 2y = x + z
If x, y and z are in AP, the difference between any two consecutive terms will be the same. Therefore,
(y - x) = (z - y)
y + y = x + z
2y = x + z

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