P a n is often of interest in money calculations. Geometric sums are useful in calculations involving debts, loans, pension plans and mortgages when interest is compounded. Geometric sums can be used to find the limiting value of repeating decimal expansions. Geometric sums also appear in the discussion of convergence of polynomial approximations or representation of functions and formulas. In particular, geometric sums also appear in the polynomial approximation of logarithms.
Geometric sums play a key role in the arithmetic-based perspective of higher mathematics.
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