the residue classes modulo 3 in Z + are: {1, 4, 7, 10, . . . } {2, 5, 8, 11, . . . } {3, 6, 9, 12, . . . } Write the residue classes modulo n in Z + for (a) n = 4 (b) n = 5

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A: For m=5 , our set is Z5 .

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Q: 5-(1,5.25, 125.62s,3125)

A: Given,

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Q: Test2

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Q: S1 = {1,5,25, 125 ,625 ,3125} S2 = {5,11, 17, 23,29,35} S3 = {1,25, 49, 221,169, 289, 3124} S4 =…

A: The solution is given below

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Q: Show by induction that for each positive integer k, 1?+ 2² + 3² + . . · +k² = }k(k+ 1)(2k + 1).

A: NOTE: Refresh your page if you can't see any equations. . check for k=1 the statement is true…

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Q: True or False. Briefly explain why.  {−13, −6, −3, 1, 10} is a complete residue system modulo 5.

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Q: not use ai please

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