An arithmetic sequence is given. Find the common difference and write out the first four terms.
-{12 - 6n}
A) d = -6; -6, -12, -18, -24
B) d = -6; 6, 2 , -4 , -10
C) d = -6; 6, 0, -6, -12
D) d = 6; 6, 12 , 18 , 24

Question

Quizplus · Accepted Answer

The common difference (d) is found by subtracting successive terms. For the given sequence {12 - 6n}, when n=1, the first term is 6 (12-6*1), and when n=2, the second term is 0 (12-6*2), showing a common difference of -6. Continuing this pattern gives the first four terms as 6, 0, -6, -12.

An Arithmetic Sequence Is Given