Find the next two terms of the geometric sequence −1/4,1/2,−1,...

klupko5HR

klupko5HR

Answered question

2022-11-22

Find the next two terms of the geometric sequence - 1 4 , 1 2 , - 1 , ...

Answer & Explanation

Cadence Arias

Cadence Arias

Beginner2022-11-23Added 5 answers

Observe that each succeeding term is obtained by multiplying the preceding term by ( - 2 ) , i . e . , 1 2 = ( - 2 ) ( - 1 4 ) , - 1 = ( - 2 ) ( 1 2 ) , ... .
Therefore, the term next to ( - 1 ) must be ( - 2 ) ( - 1 ) = 2 , &, next - 4

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