If a,b,c are in AP, a, x, b and b, y, c are in G P Show that x², b², y² are in A P

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If a, b, c are in AP, and a, x, b and b, y, c are in GP then show that x^2, b^2, y^2 are in AP. If a, b, c are in AP, and a, x, b and b, y, c are in GP then show that x^2, b^2, y^2 are in AP.
(No Audio) If a,b,c are in A.P, and a,x,b and b,y,c are in G.P then x^2, b^2 and y^2 are in ? (No Audio) If a,b,c are in A.P, and a,x,b and b,y,c are in G.P then x^2, b^2 and y^2 are in ?
If a, b, c are in AP. and a, x, b and b, y, c are in G.P., show that x^2, b^2, y^2 are in AP. If a, b, c are in AP. and a, x, b and b, y, c are in G.P., show that x^2, b^2, y^2 are in AP.
If a,b and c are in A.P. and also in G.P., show that : a=b=c. | 10 | GEOMETRIC PROGRESSION | M... If a,b and c are in A.P. and also in G.P., show that : a=b=c. | 10 | GEOMETRIC PROGRESSION | M...
Ques:-21. If a, b, c are in G.P. and a, x, b, y, c are in A.P., prove that: (i)1/x + 1/y = 2/b Ques:-21. If a, b, c are in G.P. and a, x, b, y, c are in A.P., prove that: (i)1/x + 1/y = 2/b
If `a,b,c` are in A.P.; `a, x, b` are in G.P. and `b, y, c` are in G.P., then `x^2, b^2, y^2` If `a,b,c` are in A.P.; `a, x, b` are in G.P. and `b, y, c` are in G.P., then `x^2, b^2, y^2`
Progressions: If A, B and C are in A.P and b-a, c-b and an are in G.P then find a:b:c. Progressions: If A, B and C are in A.P and b-a, c-b and an are in G.P then find a:b:c.
If a, b, c are in AP and x, y, z are in GP then prove that the value of x^b-c· y^c-a· z^a-b is 1 If a, b, c are in AP and x, y, z are in GP then prove that the value of x^b-c· y^c-a· z^a-b is 1