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`        3 non zero number a,b, and c are in AP increasing a by 1 or increasing or c by 2 the numbers are in GP then b equal`
one year ago

Devang
52 Points
```							a,b,c are in A.P.Then    a+c = 2b.            .......(1)Increasing a by 1 (a+1),b,c are in G.P.Then  (a+1)(c) = b^2.   .......(2)Increasing c by 2 a,b,(c+2) are in G.P. Then   (a)(c+2)=b^2.   .........(3)From (2) & (3)ac + c = ac + 2a   c = 2a.       .........(4)Put c = 2a in eq. (1)Then3a = 2bb= 3a/2.        .....(5)Put value of (4) & (5) in (2)(3a/2)^2 = (a+1) (2a)Solving this eq. We get a = 8.   Put a= 8 in (5)We get,                        b=12
```
one year ago
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### Course Features

• 731 Video Lectures
• Revision Notes
• Test paper with Video Solution
• Mind Map
• Study Planner
• NCERT Solutions
• Discussion Forum
• Previous Year Exam Questions