Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 12 Sequences and Series - 12.2 Analyze Arithmetic Sequences and Series - 12.2 Exercises - Skill Practice - Page 807: 35

Answer

$a_n=2n+13$

Work Step by Step

We know that the general formula of an arithmetic sequence is given by $a_n= a_1+(n-1) d$ ...(1) Here, we have $a_2=17; a_{11}=35$ and $a_{11}=a_2+(11-2) d$ Also, $a_{n}=a_2+(n-2) d$ Now, we have $a_{n}=17+(n-2) 2$ From equation (1) we have $a_n=2n+13$
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