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Plz tell above answer quickly and post it as soon as possible.............................................................

Plz tell above answer quickly and post it as soon as possible.............................................................

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2 Answers

Arun
25750 Points
5 years ago
Since, first and (2n - 1)th terms are equal. Let first term be x and (2n - 1)th term be y. Whose middle term is tn.
in A.P. 
tn = x+y/2 = a
 
in G.P.
tn = sqrt(xy) = b
 
in H.P.
tn = 2xy/(x+y) = c
 
 
hence b^2 = ac and a> b> c
Here, equatity holds (ie, a = b = c) only if all terms are same.  
Saurabh Koranglekar
askIITians Faculty 10335 Points
5 years ago
Dear student

Consider AP d,a,d
Here a = d;

Consider GP d,b,d

Regards
Here b= d;

Consider HP d,c,d
Here c= d

Therefore option a is correct

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