Find the next three terms in the geometric sequence 4, -2, 1, -, ...

Alisa Taylor

Alisa Taylor

Answered question

2022-10-18

Find the next three terms in the geometric sequence 4, -2, 1, -, ...

Answer & Explanation

Phillip Fletcher

Phillip Fletcher

Beginner2022-10-19Added 21 answers

Geometric sequences have a fixed ratio between successive pairs of terms. in the case of this sequence, the common ratio is:
- 2 4 = - 1 2
To find the next term in the sequence just multiply the previous term by the common ratio.
The general term of the sequence can be written:
a n = a 1 r n - 1
where a 1 is the first term and r the common ratio.
The common ratio of this sequence is - 1 2 , so the sequence goes:
4 , - 2 , 1 , - 1 2 , 1 4 , - 1 8 , ...

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