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24. n³ +5n is divisible by 6;

24. n³ +5n is divisible by 6;

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Answer 24,25,26
Prove (problems 23-34), that for arbitrary positive integer n is divisible by 9; is divisible by 6; is divisible by 6; is divisible by 9; is divisible by 9; is divisible by 8; is divisible by 4; 23. 24. 25. 26. 27. 28. 29. 30. 31. 32. 33. 34. n³ + (n+1)³ +(n+2)³ n³ +5n n³ +1ln 7" +3n-1 4" +15n-1 5" +2.3" +5 5"-3" +2n 5+3 +11³n+1 5.23n-2+33n-1 62n +3n+2 +3" 7"+2 +8² +1 4"-3"-7 is divisible by 17; is divisible by 19; is divisible by 11; is divisible by 57. is divisible by 84 if ne N and n is even number. "units is divisible by 3".
Transcribed Image Text:Prove (problems 23-34), that for arbitrary positive integer n is divisible by 9; is divisible by 6; is divisible by 6; is divisible by 9; is divisible by 9; is divisible by 8; is divisible by 4; 23. 24. 25. 26. 27. 28. 29. 30. 31. 32. 33. 34. n³ + (n+1)³ +(n+2)³ n³ +5n n³ +1ln 7" +3n-1 4" +15n-1 5" +2.3" +5 5"-3" +2n 5+3 +11³n+1 5.23n-2+33n-1 62n +3n+2 +3" 7"+2 +8² +1 4"-3"-7 is divisible by 17; is divisible by 19; is divisible by 11; is divisible by 57. is divisible by 84 if ne N and n is even number. "units is divisible by 3".
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