Provide an appropriate response.
-The first difference of a sequence is 2, 4, 6, 8, 10, . . . Find the first six terms of the original sequence if the first term in the original sequence is 8.
A)10, 14, 20, 28, 38, 50
B)8, 10, 14, 20, 28, 38
C)8, 16, 32, 48, 64, 80
D)8, 10, 12, 14, 16, 18

Question

Quizplus · Accepted Answer

The first difference sequence is an arithmetic sequence with a common difference of 2, starting from 2. To find the original sequence, we add each term of the first difference sequence to the cumulative sum of the original sequence starting from the first term, which is 8. This results in the sequence 8, 10 (8+2), 14 (10+4), 20 (14+6), 28 (20+8), 38 (28+10).

Provide an Appropriate Response