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Let a,b,c are in A.P. if p is the A.M of a and b and q is A.M of b and c.Then prove that b is the A.M between p and q
a,b,c are in A.P.Hence2b = a+cSimilarily2p = a+b...........(1)&2q = b+c.........(2)Add. Equation 1 &22p +2q = a+2b +c2p +2q = 4bHencep +q = 2bHence b is the A.M of p & qHence proved
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