Compute 9°, 9', 92, 9°, 9“, and 9°. 90 91 = 92 = 9° = 94 = 95 = Make a conjecture about the units digit of 9", where n is a nonnegative integer. If n is even, the units digit of 9" is If n is odd, the units digit of 9" is Use strong mathematical induction to prove your conjecture. Submit your proof as a free response. (Submit a file with a maximum size of 1 MB.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Compute 9°, 9', 9², 9³, 94, and 95.
9° =
91 =
92 =
93 =
94 =
95 =
Make a conjecture about the units digit of 9", where n is a nonnegative integer.
If n is even, the units digit of 9" is
If n is odd, the units digit of 9" is
Use strong mathematical induction to prove your conjecture. Submit your proof as a free response. (Submit a file with a maximum size of 1 MB.)
Transcribed Image Text:Compute 9°, 9', 9², 9³, 94, and 95. 9° = 91 = 92 = 93 = 94 = 95 = Make a conjecture about the units digit of 9", where n is a nonnegative integer. If n is even, the units digit of 9" is If n is odd, the units digit of 9" is Use strong mathematical induction to prove your conjecture. Submit your proof as a free response. (Submit a file with a maximum size of 1 MB.)
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