SOLUTION: I have stared at my notes for at least and hour and I have gone no where, could you please help me!
Use summation notation to write the series 42+34+26+... for 8 terms. Then evalu
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Question 452857: I have stared at my notes for at least and hour and I have gone no where, could you please help me!
Use summation notation to write the series 42+34+26+... for 8 terms. Then evaluate it.
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
The series is arithmetic with common difference -8. We can determine that the nth term is given by 
and express the sum of the first eight terms in sigma notation:
There are multiple ways to evaluate the sum without using a calculator. Perhaps the easiest way is to manipulate the expression inside the sum:
The sum 
is simply 50 added eight times, or 400. The sum 
is equal to }{2} = 36)
. Hence,
 = 112)
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