If A1, A2 be two AM’s and G1, G2 be two GM’s between a and b, then find the value of .
As A1 and A2 are A.M between a and b
∴ we can write a,A1,A2,b
Let the first term of AP be a and the common difference be d.
∴ A1 = a+d, A2 = a+2d , b =a+3d
As G1 and G2 are G.M between a and b
∴ we can write a,G1,G2,b
Let the first term of AP be a and the common ratio be r.
∴ G1 = aR, G2 = ar2 , b =ar3
∴
⇒
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