An arithmetic sequence is given. Find the common difference and write out the first four terms.
-{3n + 2}
A) d = 2; 3, 5, 8, 11
B) d = 3; 5, 8, 11, 14
C) d = 3; 3, 5, 8, 11
D) d = 2; 5, 8, 11, 14

Question

Quizplus · Accepted Answer

The given sequence is {3n + 2}. To find the common difference, substitute n = 1, 2, 3, and so on. For n = 1, the term is 5 (3*1 + 2 = 5). For n = 2, the term is 8 (3*2 + 2 = 8), showing a common difference of 3. Continuing this pattern gives the first four terms as 5, 8, 11, 14.

An Arithmetic Sequence Is Given