SOLUTION: Sum -(in summation notation) lower limit is i = 3 and upper limit is n of: (-3-4i) = -507 Find the value of n.

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Question 849495: Sum -(in summation notation)
lower limit is i = 3 and upper limit is n of:
(-3-4i) = -507
Find the value of n.
Found 2 solutions by Edwin McCravy, AnlytcPhil:
Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!


That's the sequence

-3-4(3) = -3-12 = -15
-3-4(4) = -3-16 = -19
-3-4(5) = -3-20 = -23
-3-4(6) = -3-24 = -27
...
-3-4(n) = -3-4n

So that is the sum of the arithmetic sequence with
first term -15, last term -3-4n and n-2 terms [there are
2 less since are no terms for i=1 or i=2]

Sum = 

Sum = 

Sum = 

Sum = 

Sum = 

Sum = 

Sum = 

Edwin
Answer by AnlytcPhil(1806)   (Show Source): You can put this solution on YOUR website!
I changed my solution:



That's the sequence

-3-4(3) = -3-12 = -15
-3-4(4) = -3-16 = -19
-3-4(5) = -3-20 = -23
-3-4(6) = -3-24 = -27
...
-3-4(n) = -3-4n

So that is the sum of the arithmetic sequence with
first term -15, last term -3-4n and n-2 terms [there are
2 less since are no terms for i=1 or i=2]

Sum = 

Sum = 

Sum = 

Sum = 

Sum = 

Sum = 

Sum = 

Edwin
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