Decide whether the given sequence is finite or infinite.
-$$\mathrm { a } _ { 1 } = 8 ; \text { for } \mathrm { n } \geq 2 , \mathrm { a } _ { \mathrm { n } } = 2 \cdot \mathrm { a } _ { \mathrm { n } - 1 }$$
A) Infinite
B) Finite

Question

Quizplus · Accepted Answer

The sequence is defined recursively with each term being twice the previous term, starting from 8. There is no specified endpoint or condition that would terminate the sequence, so it continues indefinitely, making it infinite.

Decide Whether the Given Sequence Is Finite or Infinite a1=8; for n≥2,an=2⋅an−1\mathrm { a } _ { 1 } = 8 ; \text { for } \mathrm { n } \geq 2 , \mathrm { a } _ { \mathrm { n } } = 2 \cdot \mathrm { a } _ { \mathrm { n } - 1 }a1​=8; for n≥2,an​=2⋅an−1​

Decide Whether the Given Sequence Is Finite or Infinite $\mathrm { a } _ { 1 } = 8 ; \text { for } \mathrm { n } \geq 2 , \mathrm { a } _ { \mathrm { n } } = 2 \cdot \mathrm { a } _ { \mathrm { n } - 1 }$