SOLUTION: Write the sum using summation notation, assuming the suggested pattern continues. -9 - 3 + 3 + 9 + ... + 81 Can you please explain so I get it, because i know how to write th

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Question 1092090: Write the sum using summation notation, assuming the suggested pattern continues.
-9 - 3 + 3 + 9 + ... + 81
Can you please explain so I get it, because i know how to write this in the simple way, i just get really confused when it comes to using sigma and everything..

Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
Start with the starting value, .
Then to get each successive term find the amount added,

So add 6 to each previous value to get the next.
Let's choose k as the index.
So,
is the formula to get any value.
So for the first value, ,

Second,

And so on.
So then stick this into the summation notation.
You can simplify too,

So,


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