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The first two terms of an infinite geome...

The first two terms of an infinite geometric sequence are `u_1 = 18 and u_2 = 12\ sin^2 theta,` where `0 < theta < 2pi, and theta!= pi.` (a)(i)Find an expression for `r` in terms of `theta.` (ii)Find the possible values of `r.` (b)Show that the sum of the infinite sequence is `54/(2 + cos (2theta)).`

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