Use the following pattern to complete parts a. and b. below.
4 + 12 = 16
4 + 12 + 20 = 36
4 + 12 +20 +28 = 64
a. What is an inductive generalization based on this pattern, where n is equal to the number of terms being summed?
OA. The sum of the terms is 4(n + 1).
OB. The sum of the terms is 4n.
OC. The sum of the terms is 4.2n+1
OD. The sum of the terms is 4n².
b. Based on the generalization in (a), find the sum of the sequence 4+ 12 + 20+...+52.