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

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If a, b, c are in GP and a^1 / x=b^1 / y=c^1 / z then prove that x, y, z are in AP. If a, b, c are in GP and a^1 / x=b^1 / y=c^1 / z then prove that x, y, z are in AP.
If a b c are in GP and a^(1/x)=b^(1/y)=c^(1/z) prove that x y z in AP, Important Questions of GP If a b c are in GP and a^(1/x)=b^(1/y)=c^(1/z) prove that x y z in AP, Important Questions of GP
If a, b, c are in GP then prove that 1/log a (m), 1/log b (m), 1/ log c (m) are in AP. If a, b, c are in GP then prove that 1/log a (m), 1/log b (m), 1/ log c (m) are in AP.
Example 22 If a,b,c are in GP and a^1/x = b^1/y = c^1/z , prove that x,y,z are in AP. 11th Maths Example 22 If a,b,c are in GP and a^1/x = b^1/y = c^1/z , prove that x,y,z are in AP. 11th Maths
"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 `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 and c are in the G.P such that a^(1/x) = b^(1/y) = c^(1/z), prove that: x+z=2y. If a, b and c are in the G.P such that a^(1/x) = b^(1/y) = c^(1/z), prove that: x+z=2y.
If a(1/b+1/c) b(1/c+1/a) c(1/a+1/b) are in ap prove that a b c are in ap | miscellaneous Q16 Class11 If a(1/b+1/c) b(1/c+1/a) c(1/a+1/b) are in ap prove that a b c are in ap | miscellaneous Q16 Class11
If (1)/(a+b),(1)/(2b),(1)/(b+c) are in A.P., then prove that a, b, c are in G.P. | 11 | SEQUENCE... If (1)/(a+b),(1)/(2b),(1)/(b+c) are in A.P., then prove that a, b, c are in G.P. | 11 | SEQUENCE...