How to calculate the increasing point if known variables are sum of total increase points and the first point.

For example, I have the first number of 1000, and I have 37 points until the last one. Sum of all points should be 107300.

So I have to calculate what number I need to add to every increasing point.


1st increasing point: 1000 + 100 = 1100
2nd increasing point: 1100 + 100 = 1200
37th increasing point: = 4600 + 100 = 4700

I need to know how to calculate this increasing number (100), as I only know the sum of all points is 107300 and the first point is 1000.


closed as off-topic by Michael E2, corey979, MarcoB, Henrik Schumacher, happy fish Apr 19 at 10:33

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  • $\begingroup$ that gives me result ≈150 $\endgroup$ – Drazen Apr 14 at 21:03

You can get an equation for your "increasing number" with

Sum[1000 + u n, {n, 37}]

37000 + 703 u

Then you can solve for u.

Solve[37000 + 703 u == 107300, u][[1, 1, 2]]


Note: But really, Solve is overkill for such a simple equation. By inspection it is clear that

u == (107300 - 37000)/703

which is 100.


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