Sum of first n terms of a GP. For |r| < 1, the sum approaches a/(1-r) as n→∞.
Total investment returns — FD with compound interest over multiple years.
Mortgage total — Sum of all EMI payments with interest.
Bouncing ball — Total distance: initial height + 2×sum of bounce heights.
Zeno's paradox — Achilles catches the tortoise: infinite GP sum.
Annuity valuation — Present value of future payments.
Network effect — Total users when each brings r new users.
Fractal lengths — Koch snowflake perimeter: infinite geometric series.
Signal processing — Decaying echo sums.
Pension fund — Total corpus from geometric contributions.
Carbon absorption — Trees absorbing decreasing amounts yearly.
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