How to calculate Sum of a function over a list

Question

tlist = Table[i, {i, 1, 10}]

tlist:{1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

f = E^(-((2 t)/T));

Sum[f, {t, {tlist[[i]], {i, 1, 8}}}]

How to calculate Sum of a function over a list?

One way to do this is by defining f[t_]:= E^(-((2 t)/T)); Is there a way to do it in any other manner. Because I have to do this for various functions with a higher level of complexity.

Answer 1

Sum[f, {t, tlist}]

 E^(-20/T) + E^(-18/T) + E^(-16/T) + E^(-14/T) + E^(-12/T) + E^(-10/ T) + 
  E^(-8/T) + E^(-6/T) + E^(-4/T) + E^(-2/T)