Answer:
4600
Step-by-step explanation:
STEP 1: Determine type of progression
[tex]d1 = - 2 - ( - 6) \\ d1 = 4 \\ \\ d2 = 2 - ( - 2) \\ d2 = 4[/tex]
Since d1 = d2, it is Arithmetic progression, with a common difference of 4
STEP 2: Evaluate the sum
[tex]s = \frac{n}{2} (2a + (n - 1)d) \\ s = \frac{50}{2} (2( - 6) + (50 - 1)4) \\ s = 4600[/tex]