Consider the following sequences. a) Find the first four

talpajocotefnf3

talpajocotefnf3

Answered question

2022-03-26

Consider the following sequences.
a) Find the first four terms of the sequence.
b) Based on part (a), determine a plausible limit of the sequence.
an=n2n21;n=2,3,4,

Answer & Explanation

Eve Larson

Eve Larson

Beginner2022-03-27Added 9 answers

1)Given:
an=n2n21;n=2,3,4,
Put n=2
a2=22221=43
Put n=3
a3=32321=98
Put n=4
a4=42421=1615
Put n=5
a5=52521=2524
Thus, first four terms: 43,98,1615,2524
2) As the value of n increases, the value of an approaches to 1. Therefore, the limit of the sequence is 1.

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