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If a, b, c are in AP or GP or HP, then ...

If `a, b, c` are in AP or GP or HP, then `(a-b)/(b-c)` is equal to

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To solve the problem, we need to analyze the relationships between \( a, b, c \) when they are in Arithmetic Progression (AP), Geometric Progression (GP), and Harmonic Progression (HP). We will find the value of \( \frac{a-b}{b-c} \) in each case. ### Step 1: When \( a, b, c \) are in AP 1. **Definition of AP**: If \( a, b, c \) are in AP, then: \[ b - a = c - b \] ...
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