A normal series is given by a_n, where a_n is the sequence whose n values increase by increments of 1. On the other hand, a partial sums sequence is called s_n, and its n values increase by additive increments. This means that the first term in a partial sums sequence is the n=1 term, the second term is the n=1 term plus the n=2 term, the third term is (n=1)+(n=2)+(n=3), etc.

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