What is the sum of the series?

6

∑ (-2k+5)

k=3

K = 3 is the starting value for k. The number six means the sum of 3 to 6.

Replace k with the values and solve:

K = 3 = - 2 (3) + 5 = - 1

K = 4 = - 2 (4) + 5 = - 3

K = 5 = - 2 (5) + 5 = - 5

K = 6 = - 2 (6) + 5 = - 7

Sum = - 1 + - 3 + - 5 + - 7 = - 16

Sum = - 16