Determine whether the sequence defined by $a _ { n } = 5 + 8 ( - 1 ) ^ { n }$ converges or diverges. If it converges, find its limit.
A) 13
B) 5
C) Diverges
D) $- 3$

Question

Quizplus · Accepted Answer

The sequence $a_n = 5 + 8(-1)^n$ alternates between two values, 13 and -3, depending on whether $n$ is even or odd. Since the sequence does not approach a single value as $n$ increases, it diverges.

Determine Whether the Sequence Defined By an=5+8(−1)na _ { n } = 5 + 8 ( - 1 ) ^ { n }an​=5+8(−1)n

Determine Whether the Sequence Defined By $a _ { n } = 5 + 8 ( - 1 ) ^ { n }$