College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 8 - Sequences, Induction, and Probability - Exercise Set 8.2 - Page 724: 31

Answer

Given $a_{n}$ = $a_{n - 1}$ + 3. $a_{1}$, the first term = 4 $20^{th}$ term of sequence = 61

Work Step by Step

Given $a_{n}$ = $a_{n - 1}$ + 3. $a_{1}$, the first term = 4 $2^{nd}$ term of sequence = $a_{1}$ + 3 = 4 + 3 = 7 $3^{rd}$ term of sequence = $a_{2}$ + 3 = 7 + 3 = 10 $4^{th}$ term of sequence = $a_{3}$ + 3 = 10 + 3 = 13 $5^{th}$ term of sequence = $a_{4}$ + 3 = 13 + 3 = 16 $6^{th}$ term of sequence = $a_{5}$ + 3 = 16 + 3 = 19 $7^{th}$ term of sequence = $a_{6}$ + 3 = 19 + 3 = 22 $8^{th}$ term of sequence = $a_{7}$ + 3 = 22 + 3 = 25 $9^{th}$ term of sequence = $a_{8}$ + 3 = 25 + 3 = 28 $10^{th}$ term of sequence = $a_{9}$ + 3 = 28 + 3 = 31 $11^{th}$ term of sequence = $a_{10}$ + 3 = 31 + 3 = 34 $12^{th}$ term of sequence = $a_{11}$ + 3 = 34 + 3 = 37 $13^{th}$ term of sequence = $a_{12}$ + 3 = 37 + 3 = 40 $14^{th}$ term of sequence = $a_{13}$ + 3 = 40 + 3 = 43 $15^{th}$ term of sequence = $a_{14}$ + 3 = 43 + 3 = 46 $16^{th}$ term of sequence = $a_{15}$ + 3 = 46 + 3 = 49 $17^{th}$ term of sequence = $a_{16}$ + 3= 49 + 3 = 52 $18^{th}$ term of sequence = $a_{17}$ + 3 = 52 + 3 = 55 $19^{th}$ term of sequence = $a_{18}$ + 3 = 55 + 3 = 58 $20^{th}$ term of sequence = $a_{19}$ + 3 = 58 + 3 = 61
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