Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 10 - Section 10.2 - Arithmetic Sequences - Exercise Set - Page 1059: 12

Answer

$50,30,10,-10,-30,-50$

Work Step by Step

Formula to calculate the nth term of an arithmetic sequence is: $a_n=a_1+d(n-1)$ Here, $a_1: $ First term and $d=$ common difference Since, we have $a_1=50$ Use a recursion formula to find the remaining five terms. Then $a_2=a_1-20=50-20=30;\\a_3=a_2-20=30-20=10;\\a_4=a_3-20=10-20=-10;\\a_5=a_4-20=-10-20=-30;\\a_6=a_5-20=-30-20=-50$ Hence, the first six terms are: $50,30,10,-10,-30,-50$
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