The value of lim(ntooo)a(n) when a(n+1)=...

The value of `lim_(ntooo)a_(n)` when `a_(n+1)=sqrt(2+a_(n)), n=1,2,3,`….. is

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Let A be nxxn matrix given by A=[(a_(11),a_(12),a_(13)……a_(1n)),(a_(21),a_(22),a_(23)…a_(2n)),(vdots, vdots, vdots),(a_(n1),a_(n2),a_(n3).a_("nn"))] Such that each horizontal row is arithmetic progression and each vertical column is a geometrical progression. It is known that each column in geometric progression have the same common ratio. Given that a_(24)=1,a_(42)=1/8 and a_(43)=3/16 .Let Di be the common difference of i^(th) row The value of lim_(nto oo)sum_(i=1)^(n)D_(i) is equal to

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