What is the sum of the series?

The sum of the series is -4.

Step-by-step explanation:

Step 1:

The symbol Σ 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

When

When

When

Step 3:

Σ between k = 3 and k = 6 is equal to

So the sum of the given series is -4.