SOLUTION: If I were to save $1.00 + $2.00 +$3.00 and so on per day for a year how much money would I have at the end of that year

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: If I were to save $1.00 + $2.00 +$3.00 and so on per day for a year how much money would I have at the end of that year      Log On


   

Question 723996: If I were to save $1.00 + $2.00 +$3.00 and so on per day for a year how much money would I have at the end of that year
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
On day 365, you will have saved $365. So the first term of this arithmetic sequence is 1, the last term is 365, and there are n = 365 terms

Now use the formula

Sn = n*(a1 + an)/2

S365 = 365*(a1 + a365)/2

S365 = 365*(1 + 365)/2

S365 = 66795

So you will have saved a total of $66795