1. The problem statement, all variables and given/known data I'm told to evaluate the following to the thousandths place: [tex]\infty[/tex] [tex]\Sigma[/tex] 7*(0.35)^k k=1 2. Relevant equations We know that an infinite equation can be expressed as: S[tex]\infty[/tex]=(a1)/1-rn 3. The attempt at a solution The first term (a1) is 7 and r=.35 so I can plug those into the above equation. I can see that we're doing something along the lines of: 7+7(.35)+7(.35^2)+7(.35^3) However, there are two issues I'm having. 1) How do I plug in n when it's infinity? 2) In the non-infinite sum of geometric series problems I've worked where in the [tex]\Sigma[/tex] equation it's r^k versus the normal format of r^k-1 I had to modify the problem to make it k-1 and ended up multiplying the whole thing by r and then subtracting r from the whole thing... It was kind of crazy and I'm still not sure why and what happened. Do I have to do something like that here? How do I solve this equation? Thank you for your time!