If three unequal numbers  a, b, c  are in A.P. and  b − a, c − b , a are in G.P., then  a3 + b3 + c3abc  is equal to

Question

If three unequal numbers  a, b, c  are in A.P. and  b − a, c − b , a are in G.P., then  a3 + b3 + c3abc  is equal to
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Solution 1

The problem states that three unequal numbers a, b, c are in Arithmetic Progression (A.P.) and b - a, c - b, a are in Geometric Progression (G.P.). We are asked to find the value of a³ + b³ + c³ - 3abc.

Step 1: Since a, b, c are in A.P., we have 2b = a + c.

Step 2: Since b - a, c - b, a are in G.P Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

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