University Calculus: Early Transcendentals (3rd Edition)

Published by Pearson
ISBN 10: 0321999584
ISBN 13: 978-0-32199-958-0

Chapter 9 - Section 9.1 - Sequences - Exercises - Page 487: 8

Answer

$1,\ 1/2,\ 1/6,\ 1/24,\ 1/120,\ 1/720,\ 1/5040,\ 1/40320,$ $1/362880,\ 1/3628800$

Work Step by Step

$\left[\begin{array}{ll} n & a_{n}\\ \\ 1 & 1\\ \\ 2 & 1/2\\ \\ 3 & \frac{1/2}{3}=1/(3!)=1/6\\ \\ 4 & \frac{1/(3!)}{4}=1/(4!)=1/24\\ \\ 5 & \frac{1/(4!)}{5}=1/(5!)=1/120\\ \\ 6 & \frac{1/(5!)}{6}=1/(6!)=1/720\\ \\ 7 & \frac{1/(6!)}{7}=1/(7!)=1/5040\\ \\ 8 & \frac{1/(7!)}{8}=1/(8!)=1/40320\\ \\ 9 & \frac{1/(8!)}{9}=1/(9!)=1/362880\\ \\ 10 & \frac{1/(9!)}{10}=1/(10!)=1/3628800 \end{array}\right]$
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