Question
The first term of a geometric sequence is -2 and the common ratio is -(1)/(4) What are the next three terms of the sequence? -(1)/(2),-(1)/(8),-(1)/(32) (1)/(2),-(1)/(8),(1)/(32) -(1)/(2),(1)/(8),-(1)/(32) (1)/(2),(1)/(8),(1)/(32)
Solution
4.6
(313 Votos)
Zilda
Elite · Tutor por 8 anos
Resposta
To find the next three terms of the geometric sequence, we can use the formula for the nth term of a geometric sequence:
, where
is the first term and
is the common ratio.Given that the first term is
and the common ratio is
, we can calculate the next three terms as follows:1. Second term:
2. Third term:
3. Fourth term:
Therefore, the next three terms of the sequence are
.The correct answer is:
.