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`        If a,b,c,d are in HP then  ab+bc+cd =?a)3ad   b)(a+b)(c+d)  c)ac  `
one year ago

Arun
22545 Points
```							Dear Shiv  a,b,c,d are in H.Pso (1/a),(1/b),(1/c),(1/d) are in A.Pd=(1/b)-(1/a)=(1/c)-(1/b)=(1/d)-(1/c)=x..........eq(1)now (1/b)-(1/a)=(1/c)-(1/b)=(1/d)-(1/c)=(a-b)/ab=(b-c)/bc=(c-d)/cd=(a-b+b-c+c-d)/(ab+bc+cd) by addendo=(a-d)/(ab+bc+cd)taking ad common(1/b)-(1/a)=ad{(1/d)-(1/a)}/(ab+bc+cd)......... eq(2)as we knowan=a1+(n-1)dput n=4a4=a1+(4-1)dputting a4=1/d , a1=1/a , d=x1/d=1/a+3xput this in eq(2)(1/b)-(1/a)=ad{(1/a)+3x-(1/a)}/(ab+bc+cd)x=3adx/(ab+bc+cd)ab+bc+cd=3ad  RegardsArun(askIITians forum expert)
```
one year ago
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### Course Features

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