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rsumseries

Summation series in R

I am currently trying to simplify this summation. I am new to R.

Data

Lx = c(5050.0, 65.0, 25.0, 19.0, 17.5, 16.5, 15.5, 14.5, 13.5, 12.5, 6.0, 0.0)

Summation series

Tx = c(sum(Lx[1:12]),sum(Lx[2:12]),sum(Lx[3:12]),sum(Lx[4:12]),
       sum(Lx[5:12]),sum(Lx[6:12]),sum(Lx[7:12]),sum(Lx[8:12]),
       sum(Lx[9:12]),sum(Lx[10:12]),sum(Lx[11:12]),sum(Lx[12:12]))
Solution

  • You can do:

    rev(cumsum(rev(Lx)))

[1] 5255.0  205.0  140.0  115.0   96.0   78.5   62.0   46.5   32.0   18.5    6.0    0.0

    Or alternatively, using Reduce():

    Reduce(`+`, Lx, right = TRUE, accumulate = TRUE)

[1] 5255.0  205.0  140.0  115.0   96.0   78.5   62.0   46.5   32.0   18.5    6.0    0.0