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Xavier is starting a running plan to train for a race. In the first week of his running plan, Xavier will run miles. The plan calls for Xavier to increase his weekly mileage by . miles every week. If Xavier sticks to the plan, how many miles would he be expected to run during his th week of the training plan?Answer: miles
Full solution
Q. Xavier is starting a running plan to train for a race. In the first week of his running plan, Xavier will run miles. The plan calls for Xavier to increase his weekly mileage by . miles every week. If Xavier sticks to the plan, how many miles would he be expected to run during his th week of the training plan?Answer: miles
- Initial Mileage Calculation: Xavier starts with miles in the first week. To find out how many miles he will run in the th week, we need to add the incremental increase for each week leading up to the th week. Since he increases his mileage by miles each week, we will calculate the total increase after weeks (since the first week is already at miles, we do not count it as an increase).
- Second Week Mileage: For the first week, the mileage is miles. For the second week, we add miles to the first week's mileage. This gives us miles for the second week.
- Third Week Mileage: For the third week, we add another miles to the second week's mileage. This gives us miles for the third week.
- Fourth Week Mileage: For the fourth week, we add another miles to the third week's mileage. This gives us miles for the fourth week.
- Fifth Week Mileage: For the fifth week, we add another miles to the fourth week's mileage. This gives us miles for the fifth week.
- Sixth Week Mileage: Finally, for the sixth week, we add another miles to the fifth week's mileage. This gives us miles for the sixth week.
