Maintenance on tools in a factory is expected to be $$275$ at the end of the first year and increase $$50$ each year for the following $7$ years. What approximate present sum of money should be set aside now to pay the maintenance costs for the $8-$year period, given that there is an $8\%$ interest rate?

$$2,282$

$$2,342$

$$2,471$

$$2,550$