College Algebra (10th Edition)

Published by Pearson

Chapter 9 - Section 9.2 - Arithmetic Sequences - 9.2 Assess Your Understanding: 11

Answer

common difference = $-2$ The first four terms are: $4, 2, 0, -2$

Work Step by Step

To find the first four terms, substitute $1, 2, 3, 4$ for $n$ in the given formula. $c_1 = 6-2(1) = 6-2= 4$ $c_2= 6-2(2) =6-4=2$ $c_3 = 6-2(3)=6-6=0$ $c_4 = 6-2(4) = 6-8 = -2$ The terms decrease by $2$ units, so the sequence is arithmetic with a common difference of $-2$.

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