SOLUTION: I wish to save 4 dollars week one. Week 2 I wish to save the original 4 dollars plus an additional 4 dollars. Week 3 sum of week 2 plus four dollars etc for 52 weeks. How do I expr

Question 842594: I wish to save 4 dollars week one. Week 2 I wish to save the original 4 dollars plus an additional 4 dollars. Week 3 sum of week 2 plus four dollars etc for 52 weeks. How do I express that algebraically?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
The savings for any particular week is
$4 times the number of that week
Let = the week number.
is the savings for week
----------------------------------
You are letting go from to
So, the expression for total savings looks like:
4*( 1 + 2 + 3 + 4 + 5 + . . . )
-----------------------------
The formula for the sum of all integers from
1 to n is
-------------------------
Let = total savings for weeks

--------------------------
Now let

The savings for 52 weeks is $5,512

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