The Challenge I am facing is combining two formulas based for a game on command and Conquer. The Silo creates continuous productivity when left alone for a while with storage. Only looking at the upgrade and selling cost. In this case "tiberium"

Trying to figure out about:

how much each "silo" costs per level
how much total spent
how much it sells for at that level


found two essential formulas:

Partial Sum
Exponential function

Where Partial Sum is:


and Exponential formula



y is the output.
a and b refer to the climbing curve of cost
and x which is the silo's level
n denotes infinite level of the silo base

For Example:

Upgrade Silo lv 9 to 10 costs 8800
Upgrade Silo Lv 8 to 9 costs 3200

The costs are the a and b where levels is the exponent power

Is this the correct way of writing the total cost of the silo at its current level? (forgive me if i dont know math shortcuts)

y=( ab^n ( ab^n + ab^1 ) ) / ab^2

If not, how do i correctly write the exponential function with the partial sum?

  • $\begingroup$ Your question looks like this: "is this formula correct? follows a bunch of symbols without any explanation". How can we say if it's correct or not? What are these $a,b,n$? What are the rules these "silo" follow? $\endgroup$
    – Crostul
    Commented Nov 30, 2016 at 22:58
  • $\begingroup$ thanks will edit $\endgroup$ Commented Nov 30, 2016 at 22:59
  • $\begingroup$ what do you mean by "a and b refer to the climbing curve of cost"? and what units is "the silo's level" measured in? and what exactly is the silo base? $\endgroup$
    – Rasputin
    Commented Nov 30, 2016 at 23:10
  • $\begingroup$ currently trying to find a decent 'example' for the silos and how the levels are contributed. i will edit an example area to describe $\endgroup$ Commented Nov 30, 2016 at 23:37


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