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The sum of \( 2 n \) terms of a series of which every even term is \( a \) times the term before it, and every odd term is \( c \) times the term before it, the first term being unity is
(A) \( \left(\frac{1-a}{1+a c}\right)\left(1-a^{n} c^{n}\right) \)
(B) \( \left(\frac{1+a}{1+a c}\right)\left(1-a^{n} c^{n}\right) \)
(C) \( \left(\frac{1+a}{1-a c}\right)\left(1-a^{n} c^{n}\right) \)
(D) None of these
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