College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 9 - Section 9.4 - Mathematical Induction - 9.4 Assess Your Understanding - Page 670: 28

Answer

See below.

Work Step by Step

For $n=1$: $n^2-n+41=1-1+41=41$, which is a prime. For $n=41$: $n^2-n+41=41^2-41+41=41^2$, which is not prime (because it has $41$ as a factor apart from $1$ and itself.
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