SOLUTION: So what I really need is the formula to use here. I can figure out the answer but would like the formula for different numbers. I have $150,000,000 and planning on purchasing a

Question 316907: So what I really need is the formula to use here. I can figure out the answer but would like the formula for different numbers.
I have $150,000,000 and planning on purchasing an item that costs $200,000. I can only buy one at a time and every time I purchase this item the price increases by $1,800. How many times can I purchase this item?
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
You have an arithmetic progression with a starting value of 200000 and a difference of 1800.
, with n=1,2,3,...
The sum of an arithmetic progression is given as,

Using the quadratic equation,

You will be able to buy the 312th item but won't have enough money left for the next item.

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