An equation for calculating a total value from two values that exponentially increase

[UnknownName]

I want to work out an equation for calculating a total value from two values that exponentially increase.
For example:

When x=1 y=100
So when

a= x+1 then b=y+100 (I think that's the equation I might be completely wrong)

What I am trying to get at is when the value of x increases by 1 the value of y will increase by 100.

What will a equation be to calculate the total value of y from the range of x from 1 - 50?

This equation is a little interest I had while playing a game to calculate the total cost of upgrading skills in the game from level 1 to level 50 with the cost starting at 100 coins at level 1 to 5000 coins at level 50.

I can manually calculate the value, it just struck my intrest if there is a equation you can use to calculate the total value.

 

[tkhunny]

Why do you think it is exponential?

Try y = 100x.

Next time, don't overthink it.

 

[UnknownName]

Why do you think it is exponential?

Try y = 100x.

Next time, don't overthink it.

That statement is correct but i wanted to know if there was an equation you could use to calculate the total value of y with the range of x inceasing from 1 to 50.

 

[mmm4444bot]

…calculate the total cost of upgrading skills in the game from level 1 to level 50 with the cost starting at 100 coins at level 1 to 5000 coins at level 50…

For the total cost, average the starting cost and the ending cost, and then multiply that by 50.

That's the formula for the sum of terms in an arithmetic sequence.

100+200+300+…+4800+4900+5000 = (100+5000)/2 * 50

If you want the total after 15 levels, then (100+1500)/2 * 15 :cool: