The infinite sequence whose general term is an = 0.17n^2 - 1.02n + 6.67 where n=1,2,3,...,9 models the total operating costs, in millions of dollars, for a company from 1991 through 1999. find
\[\sum_{i=1}^{5}ai\]
i know this is probably simple but because it is in word problem form I can not figure out where to start
You have to find a sum \[\sum_{i=1}^5(0.17i^2-1.02i+6.67)\]
so do I just place 1,2,3,4,5 in i and solve
Try to simplify it using \[\sum_{i=1}^ni^2=\frac{n(n+1)(2n+1)}6\]and \[\sum_{i=1}^ni=\frac{n(n+1)}2\]
so n is 5 right
or do I still do 1,2,3,4,5 as n and add the results altogether
You can do anything you like. Just sum all the addends in any way.
I can't seem to get the right answer I got 35 but that is not one of my choices
Do you have an answer 27.4?
yes
I have always hated word problems they seem to get the best of me
thank you
No problems. Ask anything you like.
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