Q:

What is the sum of the series?

Accepted Solution

A:
The sum of the series is -4.Step-by-step explanation:Step 1:The symbol Ξ£ is called sigma and it is used to sum all the values in it.The lower limit is 3 while the upper limit is 6. So for the equation 2k - 10, we substitute the values of k as 3, 4, 5, and 6 and then add all these values up.Step 2:Now we the values of k are substituted and values are determined.When [tex]k = 3, 2k -10 = 2(3)-10 =6 -10 =-4,[/tex]When [tex]k = 4, 2k -10 = 2(8)-10 =8 -10 =-2,[/tex]When [tex]k = 5, 2k -10 = 2(5)-10 =10 -10 =0,[/tex]When [tex]k = 6, 2k -10 = 2(6)-10 =12 -10 =2.[/tex]Step 3:Ξ£[tex](2k-10)[/tex] between k = 3 and k = 6 is equal to[tex]-4 -2 +0 + 2 = -6 + 2 = -4.[/tex]So the sum of the given series is -4.