Find the sum of the series.

12

Σ 2k+14

k=1

What we'll do is plug integer values from 1 to 12 into the expression 2*k+14 like shown below:

if k = 1, then 2*k+14 = 2*1+14 = 16

if k = 2, then 2*k+14 = 2*2+14 = 18

if k = 3, then 2*k+14 = 2*3+14 = 20

if k = 4, then 2*k+14 = 2*4+14 = 22

if k = 5, then 2*k+14 = 2*5+14 = 24

if k = 6, then 2*k+14 = 2*6+14 = 26

if k = 7, then 2*k+14 = 2*7+14 = 28

if k = 8, then 2*k+14 = 2*8+14 = 30

if k = 9, then 2*k+14 = 2*9+14 = 32

if k = 10, then 2*k+14 = 2*10+14 = 34

if k = 11, then 2*k+14 = 2*11+14 = 36

if k = 12, then 2*k+14 = 2*12+14 = 38

Add up the results:

16+18+20+22+24+26+28+30+32+34+36+38 = 324

The final answer is 324