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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?

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

Verificación de expertos
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: .