24. n³ +5n is divisible by 6;

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter11: Rational And Irrational Numbers
Section11.8: Adding And Subtracting Radicals
Problem 5E
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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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