This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

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Answer
x+2a_2 = 4x+3a_3 = 7x+24$.
Here are the solutions for questions 6 and 7.
Question 6: Given that , and are consecutive terms of a Geometric Progression (G.P.).
For a Geometric Progression, the square of the middle term is equal to the product of the first and third terms. Let the terms be , , and . So, .
Step 1: Set up the equation using the G.P. property.
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Given that (x+2), (4x+3) and (7x+24) are consecutive terms of a Geometric Progression (G.P.).
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.