Determine if the sequence is arithmetic. If the sequence is arithmetic, find the common difference.
-$$a _ { 1 } = - 3 , a _ { n } = 3 a _ { n - 1 }- 4$$
A)yes, -4
B)no
C)yes, 4
D)yes, 3

Question

Determine if the sequence is arithmetic. If the sequence is arithmetic, find the common difference.
-$$a _ { 1 } = - 3 , a _ { n } = 3 a _ { n  - 1 }- 4$$
A)yes, -4
B)no
C)yes, 4
D)yes, 3

Quizplus · Accepted Answer

The given sequence is not arithmetic because the formula for the nth term involves multiplying the previous term by 3 and then subtracting 4, which does not represent a constant difference between terms as required in an arithmetic sequence.

Determine If the Sequence Is Arithmetic a1=−3,an=3an−1−4a _ { 1 } = - 3 , a _ { n } = 3 a _ { n - 1 }- 4a1​=−3,an​=3an−1​−4

Determine If the Sequence Is Arithmetic $a _ { 1 } = - 3 , a _ { n } = 3 a _ { n - 1 }- 4$