1.

Let a _(1) , a _(2), ….a _(2n) be an arithmetic progression of positive real numbers with common difference d. Let (i) a _(1) ^(2) + a _(3) ^(2) +…..+ a _(2n -1) ^(2) = x, (ii) a _(2) ^(2 ) + a _(4) ^(2) +….+ a _(2n) ^(2) =y, and (iii) a _(n) + a _(n +1) = z. Express d in terms of x,y,z,n.

Answer»


ANSWER :`d = (y -X)/(ZN)`


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