Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 4 - An Introduction to Functions - 4-7 Sequences and Functions - Lesson Check: 2

Answer

The next two terms are $ 48$ and $-96$

Work Step by Step

We are given the sequence as: 3, -6, 12, -24, ... We need to find the pattern of this sequence. In order to get this we have to divide consecutive terms in the sequence 2nd term and 1st term: $\frac{-6}{3} = -2$ 3rd term and 2nd term: $\frac{12}{-6} = -2$ 4th term and 3rd term: $\frac{-24}{12}=-2$ Then we use this pattern to get the next two terms of the sequence: 5th term: $-24 \times -2 = 48$ 6th term: $48\times -2= -96$
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