Mathematics
rachelbramlett
17

The first term of a geometric sequence is –2 and the common -1/4. What are the next three terms of the sequence?

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(2) Answers
ButterKing

The common ratio tells you by which factor every successive term will be with respect to the preceding term so you have: -2(-1/4)(-1/4)(-1/4) 1/2, -1/8, 1/32

chikitha28

[latex]a_1=-2\\ a_2=-2\cdot\left(-\dfrac{1}{4}\right)=\dfrac{1}{2}\\ a_3=-2\cdot\left(-\dfrac{1}{4}\right)^2=-\dfrac{1}{8}\\ a_4=-2\cdot\left(-\dfrac{1}{4}\right)^3=\dfrac{1}{32}[/latex]

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