If `|(1,1,1),(2,b,c),(4,b^(2),c^(2))|` and `|A| = in [2, 16]. 2, b, c` and in A.P. the range of c is

If det[[1,1,12,b,c4,b^(2),c^(2)]] and |A|=in[2,16]*2,b,c and

Let the numbers 2, b, c be in an AP and A= [{:(1, 1,1), (2, b, c),(4, b^(2), c^(2)):}] If "det"(A) in [2, 16] , then c lies in the interval.

"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 a^(2) , b^(2) , c^(2) are in A.P , pove that a/(a+c) , b/(c+a) , c/(a+b) are in A.P .

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

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

If a, b, c are in A.P. and a, b, c + 1 are in G.P. then prove that 4a=(a-c)^2 .

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.