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if a,b,c are in a.p  b,c,d …

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if a,b,c are in a.p  b,c,d are in gp and 1/c,1/d,1/e are in a.p prove that a,c,e are in g.p.

 

  • 1 answers

Rashmi Bajpayee 9 years, 1 month ago

Given: b = (a + b)/2.            ........(i)

And.    c2 = bd                      ..........(ii)

And.    d = 2ce/(c + e).        ..........(iii)

Substituting values of b and d from eq.(i) and (iii), in eq.(ii),

c2 = {(a + c)/2} × {2ce/(c + e)}

c2 = (ace + c2e)/(c + e)

c3 = ace

c2 = ae

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