if 1/b+c 1/c+a 1/a+b are in ap then prove that a2, b2,c2 is above ap?
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If a^2 , b^2 and c^2. are in A.P. , then prove that 1/(b+c),1/(c+a),1/(a+b) are in A.P.?
a^2. , b^2. , c^2. are in A.P.
by adding a.b+b.c+c.a. in. each. term.
a^2+a.b+b.c+c.a. , b^2+a.b+b.c+c.a. , c^2+a.b+b.c+c.a are in A.P.
(a+b)(c+a). , (a+b) (b+c). , (b+c)(c+a). are in A.P.
On dividing by (a+b).(b+c).(c+a) in each term
or. 1/(b+c). , 1/(c+a). , 1/(a+b). are in A.P. , proved
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