If `a,b,c` are in AP and p is the AM between a and b and q is the AM between b and c, then show that b is the AM between p and q.

Explanation

To solve the problem step by step, we will follow the reasoning provided in the video transcript.

### Step 1: Understand the given information
We know that \( a, b, c \) are in arithmetic progression (AP). This means that the difference between consecutive terms is constant. Therefore, we can express this relationship mathematically as:
\[ b - a = c - b \]

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