Determine whether the sequence is arithmetic. If so, find the common difference. $ln⁡4,ln⁡8,ln⁡12,ln⁡16,ln⁡20,…\ln 4 , \ln 8 , \ln 12 , \ln 16 , \ln 20 , \ldots$

A) 8
B) 4
C) $ln⁡8\ln 8$
D) $ln⁡4\ln 4$
E) The sequence is not arithmetic.

Question

Determine whether the sequence is arithmetic. If so, find the common difference.

ln⁡4,ln⁡8,ln⁡12,ln⁡16,ln⁡20,…\ln 4 , \ln 8 , \ln 12 , \ln 16 , \ln 20 , \ldots

A) 8
B) 4
C)

ln⁡8\ln 8

D)

ln⁡4\ln 4

E) The sequence is not arithmetic.

Cameron Harris · Accepted Answer

Final Answer : E, Explanation :   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 , … 1.386, 2.079, 2.485, 2.773, 2.996, \ldots 1.386 , 2.079 , 2.485 , 2.773 , 2.996 , … We can see that the differences between consecutive terms are not constant, so there is no common difference.

Determine whether the sequence is arithmetic. If so, find the common difference. $ln⁡4,ln⁡8,ln⁡12,ln⁡16,ln⁡20,…\ln 4 , \ln 8 , \ln 12 , \ln 16 , \ln 20 , \ldots$

A) 8
B) 4
C) $ln⁡8\ln 8$
D) $ln⁡4\ln 4$
E) The sequence is not arithmetic.

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Learning Objectives

Related questions

Determine whether the sequence is arithmetic. If so, find the common difference. 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,… A) 8B) 4C) ln⁡8\ln 8ln8 D) ln⁡4\ln 4ln4 E) The sequence is not arithmetic.

Definitions

Learning Objectives

Learning Objectives

Related questions

Determine whether the sequence is arithmetic. If so, find the common difference. $ln⁡4,ln⁡8,ln⁡12,ln⁡16,ln⁡20,…\ln 4 , \ln 8 , \ln 12 , \ln 16 , \ln 20 , \ldots$

A) 8
B) 4
C) $ln⁡8\ln 8$
D) $ln⁡4\ln 4$
E) The sequence is not arithmetic.