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" 1.If "a,b,c" are in "A*P,b,c,d" are in...

" 1.If "a,b,c" are in "A*P,b,c,d" are in "G*P" and "(1)/(c),(1)/(d),(1)/(e)" are in A.P.prove that "a,c,e" are in "G.P

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if a, b, c are in A.P., b, c, d are in G.P. and (1)/(c),(1)/(d),(1)/(e) are in A.P., then prove that a, c, e are in G.P.

If a, b, c are in A.P., b, c, d are in G.P. and 1/c,1/d,1/e are in A.P. prove that a,c,e are in GP.

If a, b, c are in A.P., b, c, d are in G.P. and 1/c,1/d,1/e are in A.P. prove that a,c,e are in GP.

If a, b, c are in A.P., b, c, d are in G.P. and 1/c,1/d,1/e are in A.P. prove that a,c,e are in GP.

If a, b, c are in A.P., b, c, d are in G.P. and 1/c,1/d,1/e are in A.P. prove that a,c,e are in GP.

"If "(1)/(a+b),(1)/(2b),(1)/(b+c) are in A.P., then prove that a, b, c are in G.P.

"If "(1)/(a+b),(1)/(2b),(1)/(b+c) are in A.P., then prove that a, b, c are in G.P.

If (1)/(a),(1)/(b),(1)/(c) are in A.P.prove that: (b+c)/(a),(c+a)/(b),(a+b)/(c) are in A.P.

If a,b,c,d,e are five numbers such that a,b,c are in A.P., b,c,d are in G.P. and c,d, e ar in H.P. prove that a,c,e are in G.P.

If a^(2),b^(2),c^(2) are in A.P.prove that (1)/(b+c),(1)/(c+a),(1)/(a+b) are in A.P.