Decide whether the given sequence is finite or infinite.
-$$a _ { 1 } = 2 ; \text { for } 2 \leq n \leq 20 , a _ { n } = 2 \cdot a _ { n - 1 } + 3$$
A) Finite
B) Infinite

Name: Decide whether the given sequence is finite or infinite. -\[a _ { 1 } = 2 ; \text { for } 2 \leq n \leq 20 , a _ { n } = 2 \cdot a _ { n - 1 } + 3\] A) Finite B) Infinite
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Question

Quizplus · Accepted Answer

The sequence is defined from $n = 1$ to $n = 20$, with a specific formula for each term. Since it has a clear end at $n = 20$, it is finite.

Decide Whether the Given Sequence Is Finite or Infinite a1=2; for 2≤n≤20,an=2⋅an−1+3a _ { 1 } = 2 ; \text { for } 2 \leq n \leq 20 , a _ { n } = 2 \cdot a _ { n - 1 } + 3a1​=2; for 2≤n≤20,an​=2⋅an−1​+3

Decide Whether the Given Sequence Is Finite or Infinite $a _ { 1 } = 2 ; \text { for } 2 \leq n \leq 20 , a _ { n } = 2 \cdot a _ { n - 1 } + 3$