For Loop running error

Question

This code doesn't find the correct output

for say n= 1 (although it gives the correct output for say n= 2,3,4..etc.)

if we put n= 1 to find x then the i loop will continue from 1 to 0, hence the first term in x should vanish and leftover should be the second term 5; but it gives 0 ?

Is there any limitation on the input n to run the for loop ?I would appreciate any help.

 Function math(n As Integer) As Double

 Dim i As Integer
 Dim x As Double

 For i = 1 To n - 1
    x = (n - 1) * 2 + 5
    sum = sum + x
 Next i
 math = sum
 End Function

Answer 1

Why not simply:

Function math(n As Integer) As Double
  Math = ((n - 1) * 2 + 5) * Abs((n - 1) - (n = 1))
End Function

???

if the answer is correct then Math = (n * 2 + 3) * Abs((n - 1) - (n = 1)) would be easier to understand and make much more sense

Answer 2

If n = 1, you end up with For i = 1 To 0 which is incorrect and
should be expressed For i = 1 To 0 STEP -1.
So I suggest you add the STEP BYand make sure it is either 1 to -1 depending on N.

Answer 3

In the for loop, if you don't precise the Step, the variable will only increment by 1.

And here, you start at 1 to go to 0, so the loop won't execute, you need to test n to cover both cases :

Function math(n As Integer) As Double
If n < 0 Then Exit Function
Dim i As Integer
Dim x As Double
Dim Summ As Double

Select Case n
    Case Is > 1
        For i = 1 To n - 1
           x = (i - 1) * 2 + 5
           Summ = Summ + x
        Next i
    Case Is = 1
        Summ = (n - 1) * 2 + 5
    Case Is = 0
        Summ = 5
    Case Else
        MsgBox "This case is not supported", vbInformation + vbOKOnly
        Exit Function
End Select

math = Summ
End Function