Final answer:
To find the sum of the given series, use the arithmetic series formula and substitute the values into it.
Step-by-step explanation:
The given series is 36+28+20+...+16.
Notice that each term in the series decreases by 8. So, the common difference is -8.
We need to find the sum of this arithmetic series. To do that, we can use the formula:
Sum = (n/2)(first term + last term) = (n/2)[2a + (n-1)d] where n is the number of terms, a is the first term, and d is the common difference.
Substituting the values we know into the formula:
Sum = (n/2)[2(36) + (n-1)(-8)]