Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 4 - An Introduction to Functions - 4-7 Arithmetic Sequences - Got It?: 1

Answer

The next two terms of the sequence are $35$ and $43$

Work Step by Step

We are given the sequence as: 3, 11, 19, 27, ... We need to find the pattern of this sequence. In order to get this we have to find the difference between consecutive terms of the sequence. 2nd term and 1st term: $11-3 = 8$ 3rd term and 2nd term: $19-11 = 8$ 4th term and 3rd term: $27-19= 8$ Then, we use this pattern to get the next two terms of the sequence: 5th term: $27 + 8 = 35$ 6th term: $35+8 = 43$
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