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11. (a) [Sharescreen]/[Verbal] Write the following statement using mod notation: the last digit of n5 is the same as the last digit of n. (b) [Sharescreen] [Verbal] Hypothesize a mathematical theorem based on the answer from this problem and the previous two. Hint: As long as n is less than the respective mod, n21 (mod 33) = n n25 (mod 35) = n n25 (mod 39) = n n33 (mod 51) = n n³1 (mod 62) = n n61 (mod 77) = n n65 (mod 85) = n n73 (mod 91) = n n61 (mod 93) = n n? (mod ?) = n

11. (a) [Sharescreen]/[Verbal] Write the following statement using mod notation: the last digit of n5 is the same as the last digit of n. (b) [Sharescreen] [Verbal] Hypothesize a mathematical theorem based on the answer from this problem and the previous two. Hint: As long as n is less than the respective mod, n21 (mod 33) = n n25 (mod 35) = n n25 (mod 39) = n n33 (mod 51) = n n³1 (mod 62) = n n61 (mod 77) = n n65 (mod 85) = n n73 (mod 91) = n n61 (mod 93) = n n? (mod ?) = n

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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11. (a) [Sharescreen]/[Verbal] Write the following statement using mod notation: the last digit of n³ is the same as the last digit of n. (b) [Sharescreen] / [Verbal] Hypothesize a mathematical theorem based on the answer from this problem and the previous two. Hint: As long as n is less than the respective mod, 21 n²¹ (mod 33) = n n25 (mod 35) = n n25 (mod 39) = n n33 (mod 51) = n n³1 (mod 62) = n n61 (mod 77) = n n65 (mod 85) = n n73 (mod 91) = n n61 (mod 93) = n n? (mod ?) = n
Transcribed Image Text:11. (a) [Sharescreen]/[Verbal] Write the following statement using mod notation: the last digit of n³ is the same as the last digit of n. (b) [Sharescreen] / [Verbal] Hypothesize a mathematical theorem based on the answer from this problem and the previous two. Hint: As long as n is less than the respective mod, 21 n²¹ (mod 33) = n n25 (mod 35) = n n25 (mod 39) = n n33 (mod 51) = n n³1 (mod 62) = n n61 (mod 77) = n n65 (mod 85) = n n73 (mod 91) = n n61 (mod 93) = n n? (mod ?) = n
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