The sum of series is: -16
Step-by-step explanation:
First of all we have to breakdown the summation notation into terms
As the value of k is from 3 to 6
We will put k=3,4,5,6
So,
Putting k = 3
[tex]= -2(3)+5\\= -6+5\\=-1[/tex]
Putting k =4
[tex]= -2(4)+5\\=-8+5\\=-3[/tex]
Putting k = 5
[tex]=-2(5)+5\\=-10+5\\=-5[/tex]
Putting k = 6
[tex]=-2(6)+5\\= -12+5\\=-7[/tex]
The sum will be:
= [tex]= (-1) + (-3) + (-5) + (-7)\\= -1-3-5-7\\= -16[/tex]
Hence,
The sum of series is: -16
Keywords: sum, variables
Learn more about sum of series at:
- brainly.com/question/11280112
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