Provide an appropriate response.
-The first difference of a sequence is 3, 6, 9, 12, 15, . . . Find the first six terms of the original sequence if the sum of the first two terms is 17.
A)7, 10, 16, 25, 37, 52
B)17, 20, 26, 35, 47, 62
C)17, 20, 23, 26, 29, 32
D)7, 10, 13, 16, 19, 22

Question

Quizplus · Accepted Answer

The first difference sequence (3, 6, 9, 12, 15, ...) suggests that the original sequence is increasing by an increasing amount, specifically by an additional 3 each time. Given the sum of the first two terms is 17, and the pattern of increases, option A correctly represents a sequence starting with two terms that sum to 17 and then increases according to the given first difference sequence.

Provide an Appropriate Response