1.

If a, b, c, d are in G.P. then prove that : (i) (a+c)(c+d)=( b+c)(b+d) (ii) (a^(2)+b^(2)+c^(2))(b^(2)+c^(2)+d^(2))=(ab+bc+cd)^(2) (iii) (a+b+c+d)^(2)=(a+b)^(2)+2(b+c)^(2)+(c+d)^(2) (iv) a+b,b+c,c+d" are in G.P." (v) a^(2)+b^(2),b^(2)+c^(2),c^(2)+d^(2)" are in G.P." (vi) a^(n)+b^(n),b^(n)+c^(n),c^(n)+d^(n)" are in G.P."

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SOLUTION :N/a


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