Mathematics: The first term of a geometric sequence is -2 and the commen ratio is negative one fourth what are the next three terms of the sequence

The first term of a geometric sequence is -2 and the

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holman6884

11.03.2022

$a_1=-2\\r=-\dfrac{1}{4}\\-------------------\\\\a_{n}=a_{n-1}r\\\\a_2=a_1r\to a_2=-2\left(-\dfrac{1}{4}\right)=\dfrac{1}{2}\\\\a_3=a_2r\to a_3=\left(\dfrac{1}{2}\right)\left(-\dfrac{1}{4}\right)=-\dfrac{1}{8}\\\\a_4=a_3r\to a_4=\left(-\dfrac{1}{8}\right)\left(-\dfrac{1}{4}\right)=\dfrac{1}{32}\\\\\boxed{\ \dfrac{1}{2},\ -\dfrac{1}{8},\ \dfrac{1}{32}}.$

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GalaxyCraft4991

12.04.2023

Mathematics

Https://www.algebra.com/services/rendering/simplifier.mpl this should help out with math

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The first term of a geometric sequence is -2 and the commen ratio is negative one fourth what are the next three terms of the sequence

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