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CA Foundation · Quantitative Aptitude · Sequence and Series

If x, y, z are in AP, which expression must be the arithmetic mean of x and z?

The arithmetic mean of x and z is y. When three numbers are in AP, the middle term is exactly the average of the first and third, so y = (x + z)/2. The value 2y is the sum, not the mean.

  1. AyCorrect
  2. B2y
  3. Cy/2
  4. Dy²

Explanation

For three terms in AP, the middle term is the average of the other two: y = (x + z)/2. So the arithmetic mean of x and z is y. Option 2y is their sum.

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