Is there a way in Pandas to use previous row value in dataframe.apply when previous value is also calculated in the apply?

I have the following dataframe:

     Index_Date    A    B    C    D
     ===============================
     2015-01-31    10   10   Nan  10
     2015-02-01     2    3   Nan  22 
     2015-02-02    10   60   Nan  280
     2015-02-03    10   100   Nan  250

Require:

     Index_Date    A    B    C    D
     ===============================
     2015-01-31    10   10   10   10
     2015-02-01     2    3   23   22
     2015-02-02    10   60   290  280
     2015-02-03    10   100  3000 250

Column C is derived for 2015-01-31 by taking value of D.

Then I need to use the value of C for 2015-01-31 and multiply by the value of A on 2015-02-01 and add B.

I have attempted an apply and a shift using an if else by this gives a key error.

First, create the derived value:

    df.loc[0, 'C'] = df.loc[0, 'D']

Then iterate through the remaining rows and fill the calculated values:

    for i in range(1, len(df)):
        df.loc[i, 'C'] = df.loc[i-1, 'C'] * df.loc[i, 'A'] + df.loc[i, 'B']


      Index_Date   A   B    C    D
    0 2015-01-31  10  10   10   10
    1 2015-02-01   2   3   23   22
    2 2015-02-02  10  60  290  280

From: stackoverflow.com/q/34855859