How to find and write the first four terms of the sequences below with the...

Alvaro Wilkinson

Alvaro Wilkinson

Answered

2022-12-31

How to find and write the first four terms of the sequences below with the given general term?
(1) an=(1)n+1(n+4)
(2) an=(1)n1n2

Answer & Explanation

Yosef Santana

Yosef Santana

Expert

2023-01-01Added 8 answers

an=(1)n+1(n+4)
5,6,7, and 8 are the first four terms in the sequence with the general term (n+4).
(1)n+1 simply means that terms will be positive when they are odd and negative when they are even.
Therefore, an=14=(1)n+1(n+4)=+5,6,+7,8
an=(1)n1n2
The first 4 terms of the sequence with general term n2 are: 1,4,9,16
(1)n1 also means that odd terms will be positive and even terms will be negative. [Since, (1)0=1]
Thus, an=14=(1)n1n2=+1,4,+9,16

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