Let 3, x, y, z be in Arithmetic Progression and 3, x – 1, y + 1, z + 9 be in Geometric Progression. Then, the arithmetic mean of x, y, and z is:

Question

Let 3, x, y, z be in Arithmetic Progression and 3, x – 1, y + 1, z + 9 be in Geometric Progression. Then, the arithmetic mean of x, y, and z is:
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Solution 1

In an Arithmetic Progression (AP), the difference between any two successive terms is constant. Let's denote this common difference as 'd'. So, we can write the following equations based on the given AP:

x = 3 + d y = x + d = 3 + 2d z = y + d = 3 + 3d

In a Geometric Progression (GP), the ratio of Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

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