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" 8.Show that "(a-b)^(2),(a^(2)+b^(2))" ...

" 8.Show that "(a-b)^(2),(a^(2)+b^(2))" and "(a+b)^(2)" are in A.P."

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Show that (a - b)^(2), (a^(2) + b^(2)) " and " (a + b)^(2) are in AP.

Show that the sequence (a+b)^(2)(a^(2)+b^(2)),(a-b)^(2),... is an A.P.

If a, b, c are In A.P., then show that, a^(2)(b+c), b^(2)(c+a), c^(2)(a+b) are in A.P. (ab+bc+ca != 0)

If (b^(2)+c^(2)-a^(2))/(2bc), (c^(2)+a^(2)-b^(2))/(2ca) and (a^(2)+b^(2)-c^(2))/(2ab) are in A.P. then show that, a(b+c-a), b(c+a-c) and c(a+b-c) are also in A.P. [a+b+c != 0] .

If a b,c are in A.P.then show that (i) a^(2)(b+c),b^(2)(c+a),c^(2)(a+b) are also in A.P.

If a, b, c are in A.P., prove that a^(2)(b+c),b^(2)(c+a),c^(2)(a+b)" are also in A.P."

If a, b, c are in A.P., prove that a^(2)(b+c),b^(2)(c+a),c^(2)(a+b)" are also in A.P."

If (b^(2) + c^(2) - a^(2))/(2bc), (c^(2) + a^(2) - b^(2))/(2ca), (a^(2) + b^(2) - c^(2))/(2ab) are in A.P. and a+b+c = 0 then prove that a(b+c-a), b(c+a-b), c(a+b-c) are in A.P.

If a^(2),b^(2),c^(2) are in A.P.then show that: bc-a^(2),ca-b^(2),ab-c^(2) are in A.P.

If the angles A,B,C of /_\ABC are in A.P., and its sides a, b, c are in Gp., show that a^(2) , b^(2), c^(2) are in A.P.