Appendix 2.1: Solving Infinite and Finite Power Series

Infinite Series

Eq: A:1 equation

Multiply both sides of Eq. A.1 by img:

Eq: A.2 equation

Subtract Eq. A.2 from Eq. A.1:

equation

Collect terms and simplify:

equation

Finite Series

Eq: A.3 equation

Multiply both sides of Eq. A.3 by img:

Eq: A.4 equation

Subtract Eq. A.4 from Eq. A.3 and solve for P to get:

equation

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