Build an increasing-deposit schedule
Use this schedule for a saving challenge with daily, weekly, biweekly, or monthly deposits. Choose the number of deposits, then either enter a first deposit plus a fixed increase, or enter a target balance and let the schedule derive the first deposit. No interest is included.
Arithmetic sequence
This is product-defined arithmetic. The number of deposits is rounded to a whole number n. In deposit mode, the last deposit is first + (n - 1) × increase; total saved is n × (first + last) / 2. In target mode, the first deposit is selected so that this arithmetic sequence totals the target, but it is floored at zero. Plan length is n / deposits per year.
For 52 weekly deposits beginning at $1 and increasing by $1 each time, the last deposit is $52, the average is $26.50, and total saved is $1,378 over one year. In target mode, 12 monthly deposits targeting $1,200 with a $10 increase begin at $45, end at $155, and average $100. Compare the first and last deposits—not just the average—to decide whether the ramp is workable.
Target-mode caution
If the chosen increase alone would overshoot a low target, flooring the first deposit at zero does not reduce later deposits; the final total can exceed the target. Review the displayed total and last deposit before adopting the schedule.
Frequency and mode must be recognized, deposits must number at least one, and monetary inputs cannot be negative. Blank entries, invalid numbers, and unknown options are rejected. Fractions in the deposit count are rounded. The model omits interest, fees, missed deposits, calendar dates, and irregular changes.
This is a planning aid, not investment advice. Use the savings goal calculator when the task is a monthly contribution with interest rather than a fixed arithmetic increase.