Answer: 1058176
check:
1058176 - 709,189= 348,987
Using Gauss's method
Total number of terms = [15-(-129)]/4+1=36+1=37
Add
S=15+11+7+....-125-129
S=-129-125-...+7+11+15
--------------------------------
2S=-114-114-114...(37 times)
=>
sum=S=(1/2)*(-114)*37=-2109
Using AP, T(n)=15+11+7+....-129
T(n)=19-4n => T(1)=15, T(37)=-129
S(n)=(1/2)(37)(T(1)+T(37)=(1/2)37(15-129)=2109
Domain restrictions are values of x which are not acceptable in a function.
They may be arbitrary because we simply want to ignore them. eg y = x^2 between 0 and 4
They may make no sense in the context, eg graph a compounding investment over next 20 years.
Negative values for x make sense here.
They may avoid mathematical impossibilities eg y = (x^2 - 4x) / (x - 4) which must avoid dividing by zero, so x cannot = 4.
The graph will look like the line y = x but have a hole where x= 4
