Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 11 - Section 11.3 - Series - Exercise Set - Page 652: 45

Answer

The number of opossums killed in the fourth month is 30. The total killed in the first four months is 68.

Work Step by Step

For the sequence with general term $a_{n} = (n+1)(n+2)$, where $n$ is the number of the month The number of opossums killed in the fourth month (n = 4) is, $a_{4}$ = $(4+1)(4+2)$ = $5 \cdot 6$ = 30. and, the total killed in the first four months is = $a_{1}$ + $a_{2}$ + $a_{3}$ + $a_{4}$ = $(2 \times 3)$ + $(3 \times 4)$ + $(4 \times 5)$ + $(5 \times 6)$ = $6 + 12 + 20 + 30$ = $68$
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