Discrete Mathematics and Its Applications, Seventh Edition

Published by McGraw-Hill Education
ISBN 10: 0073383090
ISBN 13: 978-0-07338-309-5

Chapter 2 - Section 2.4 - Sequences and Summations - Exercises - Page 169: 34

Answer

A. 3 B. 78 C. 0 D. 180

Work Step by Step

A. For i = 1, 0+(-1) = -1. For i = 2, 1+0 = 1. For i = 3, 2+1 = 3. Hence, (-1)+1+3 = 3. B. For i = 0, 0 + 2 + 4 = 6. For i = 1, 3 + 5 + 7 = 15. For i = 2, 6 + 8 + 10 = 24. For i = 3, 9 + 11 + 13 = 33. Hence, 6+15+24+33 = 78. C. For i = 1, 0 /times 1 /times 2 = 0. For i = 2, 0 /times 1 /times 2 = 0. For i = 3, 0 /times 1 /times 2 = 0. Hence, 0+0+0=0. D. For i = 0, 0+0+0 = 0 For i = 1, 0 + 1 + 8 + 27 = 36. For i = 2, 0 + 4 + 32 + 108 = 144. Hence, 0+36+144 = 180.
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