Determine whether the sequence is arithmetic. If so, find the common difference. $\ln 4 , \ln 8 , \ln 12 , \ln 16 , \ln 20 , \ldots$
A) 8
B) 4
C) $\ln 8$
D) $\ln 4$
E)The sequence is not arithmetic.

Question

Quizplus · Accepted Answer

The sequence is not arithmetic because there isn't a common difference between terms. When we take the logarithm of each term, we get:
$$1.386, 2.079, 2.485, 2.773, 2.996, \ldots$$
We can see that the differences between consecutive terms are not constant, so there is no common difference.

Determine Whether the Sequence Is Arithmetic ln⁡4,ln⁡8,ln⁡12,ln⁡16,ln⁡20,…\ln 4 , \ln 8 , \ln 12 , \ln 16 , \ln 20 , \ldotsln4,ln8,ln12,ln16,ln20,…

Determine Whether the Sequence Is Arithmetic $\ln 4 , \ln 8 , \ln 12 , \ln 16 , \ln 20 , \ldots$