Find the indicated sum. Show your work.

4 k=1 (-1)^k(k+11)
Inbetween the 4 and k , Theres a backwards 3 sign

That's a sigma

4
∑ (-1)^k (k+11)
k=1

= (-12)+(13)+(-14)+(15)
= 2

Thank you :)

To find the indicated sum of the given expression, we need to substitute different values of "k" into the expression and add up the results.

The expression given is: (-1)^k(k+11)

First, we substitute k = 1:
(-1)^1(1+11) = (-1)(12) = -12

Next, we substitute k = 2:
(-1)^2(2+11) = (1)(13) = 13

Continuing this process, we substitute k = 3:
(-1)^3(3+11) = (-1)(14) = -14

As requested, we continue this pattern until we reach k = 4.

Finally, we substitute k = 4:
(-1)^4(4+11) = (1)(15) = 15

To find the sum, we add up the values we obtained:
(-12) + 13 + (-14) + 15 = 2

Therefore, the indicated sum of the expression is 2.