Given a series 1 + 1/2 + 1/4 + 1/8 + 1/16+......; determine the nature of the series, the sum of the n term of the series and sim of the terms as n tends to infinity.
It's an inverse power series,
Sn=2⋅(1−(12)n),S=2.S_n=2\cdot(1-(\frac{1}{2})^n),\\S=2.Sn=2⋅(1−(21)n),S=2.
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