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In this manuscript we introduce Geo*Arithmetic Series. There are convergent Geo*Arithmetic Series. Thus, we want to know the sum of Geo*Arithmetic Series if it converges. Moreover, we find the sum of Geo*Arithmetic Series if it converges. We define first sequence because the theory of series directly or indirectly depends on the theory of sequence. A sequence of real numbers is an ordered list of real numbers. Now, we define a series of real numbers as the sum of terms of real sequence.
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