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AR^(3)-Ar^(3)+AR^(2)h-Ar^(2)h...

`AR^(3)-Ar^(3)+AR^(2)h-Ar^(2)h`

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Show that the products of the corresponding terms o the sequences a ,ar,ar^(2),:'ar^(n-1) and A,AR,AR^(2),AR^(n-1) form a G.P.and find the common ratio.

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Show that the products of the corresponding terms of the sequences a,ar,ar^(2),...,ar^(n-1) and a,AR,AR^(2),...,AR^(n-1) form a G.P,and find the common ratio.

Show that the products of the corresponding terms of the sequences a,ar,ar^2,…ar^(n-1) and A,AR,AR^2,….AR^(n-1) form n G.P. and find the C.R.

a+ar+ar^(2)+...+ar^(n-1)=(a(1-r^(n)))/(1-r) forall n in N.