Create 2 formulas, one that will calculate the last number in terms of the first number and a constant increase in rate as well as the total amount of numbers. The second formula will add ass of the resulting numbers from the first formula together after the last number is calculated. Process:
In order to put the problem into perspective, I first set up my own possible variables for the first platform height, the difference in height between each platform, and the total number of platforms. I came up with the numbers for each variable respectively: 6, 3, and 3. The first platform is 6 feet tall. There are 3 platforms. The distance between each platform is 3 feet. The second platform is 6+3 feet tall or 9 feet, the third platform is 9+3 feet or 12 feet. I tried to find a formula for the height of the tallest platform that works. What I had to do, to find the height of the tallest platform, was first to find out how tall the first platform was. Since we don't know how tall the first platform is, I substituted it for the variable f. Next we had to determine the difference in height between each platform, which I substituted as d, and multiply that by the total number of platforms because this will show the total increase in height from the first platform to the last platform. However, I had to subtract one from the total number of platforms because I already used the first platform as the starting height in feet for increasing the height from platform to platform. I substituted this for (x-1). Once I found the total difference in height from the first platform to the last platform, I just added that to the height of the first platform to get the height of the last platform. The formula I came up with was (f+(x-1)d)=1 where f=the height of the first platform, x=number of platforms, and d=the distance between each platform. I checked to see if my formula worked using the numbers from earlier....
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