Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 12 - Review - Exercises - Page 890: 11

Answer

(a) $a_1=7$ $a_2=9$ $a_3=11$ $a_4=13$ $a_5=15$ (b) See the graph. (c) $S_5=55$ (d) It is an arithmetic sequence. Common difference: $d=2$

Work Step by Step

$a_n=2n+5$ (a) $a_1=2(1)+5=7$ $a_2=2(2)+5=9$ $a_3=2(3)+5=11$ $a_4=2(4)+5=13$ $a_5=2(5)+5=15$ (c) $S_5=a_1+a_2+a_3+a_4+a_5=7+9+11+13+15=55$ (d) $a_2-a_1=2$ $a_3-a_2=2$ $a_4-a_3=2$ $a_5-a_4=2$ It is an arithmetic sequence. Common difference: $d=2$
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