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: 11



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 $a_1=30$ Use a recursion formula to find the remaining five terms. Then $a_2=a_1-10=30-10=20;\\a_3=a_2-10=30-20=10;\\a_4=a_3-10=10-10=0;\\a_5=a_4-10=0-10=-10;\\a_6=a_5-10=-10-10=-20$ Hence, the first six terms are: $30,20,10,0,-10,-20$
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