SOLUTION: Sigma notation/Integers Find the value of 82 E (6+4i) (the "E" is meant to represent sigm

Algebra ->  Sequences-and-series -> SOLUTION: Sigma notation/Integers Find the value of 82 E (6+4i) (the "E" is meant to represent sigm      Log On


   



Question 601673: Sigma notation/Integers
Find the value of 82
E (6+4i) (the "E" is meant to represent sigma and the 82 is supposed to be above it)
i=17
I have got the sequence worked out i.e. 6+4x17= 74
6+4x18= 78 etc.
However not sure where to go or whether I am going in the right direction!

Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
These are the things you need to know to do this problem:

sum%28i%2Ci-1%2Cn%29 = n%28n%2B1%29%2F2

sum%281%2Ci=1%2Cn%29 = n

sum%28k%2Af%28i%29%2Ci=1%2Cn%29 = k%2Asum%28f%28i%29%2Ci=1%2Cn%29

sum%28%28f%28i%29%2Bg%28i%29%29%2Ci=1%2Cn%29 = sum%28f%28i%29%2Ci=1%2Cn%29 + sum%28g%28i%29%2Ci=1%2Cn%29

---------------------------------------------------------

sum%28%286%2B4i%29%2Ci=1%2C81%29 = sum%28%286%29%2Ci=1%2C81%29 + sum%28%284i%29%2Ci=1%2C81%29 = 6%2Asum%28%281%29%2Ci=1%2C81%29 + 4%2Asum%28%28i%29%2Ci=1%2C81%29 =

6%2A81 + 4·%2881%2A%2881%2B1%29%29%2F2 = 486 + 4·%2881%2A82%29%2F2 = 486 + 13284 = 13770

Edwin