Program to perform summation on an array

[AS_10137793]

I wrote and attached a basic worksheet to demonstrate what I am trying to achieve. I can get the solution by defining each part one-by-one like you will see on the attached sheet, but that is going to be too tedious on my main worksheet. A program or other built in function would be ideal. 

Thanks in advance for the help. 

[StuartBruff]

My trial period for Mathcad Prime 8 has just run out, so I can't demonstrate a programmed version, but here's a version that should run in most versions of Mathcad (this was written in Mathcad Express 7).   It uses range variables.

Stuart

[StuartBruff]

And here's one possible (recursive) functional solution ...

This function will return a vector even if its argument is a scalar.

Stuart

[LucMeekes]

Here's one approach. Should work for any length vector >0  and with any value of ORIGIN.

Success!
Luc

[Werner_E · Accepted solution]

Here are a few suggestions for functions to do the job.

On contrary to Stuart recursive function, none of them will deal with a scalar as argument and the last two fail if the argument vector has just one element. Would need to throw in an "if" to deal with that situation if necessary.

[AS_10137793]

Thank you everyone for the help! I tried lots of different things on my end and I did not know to use the "last(v)" in there as part of the sum. That's new to me, so thank you for that as well. A couple of these solutions will work for me, and I will be able to use some of this new info on other things I will have to code later. 

Andrew