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You must explain your reasoning or show a calculation on all problems. 1. Comput

ID: 3145755 • Letter: Y

Question

You must explain your reasoning or show a calculation on all problems. 1. Compute GCD(330, 156) and write it in the form 330s 156t 2. Find the multiplicative inverse of 43 mod 660 3. Compute LCM(2800, 6125) 4. Find 12A43 mod 713 "by hand." 5. Give the addition table for 71 6. Give the multiplicative table for Z base 7 7. Determine the first 10 terms of the following sequence: (n if n is even n(1/n if n is odd 8. Determine the first 10 terms of the following sequence: 9. Find the first 10 terms of an arithmetic sequence with initial 10. Find the first 10 terms of a geometric sequence with initial term a=5 and common difference d=8 term 8 and common ratio 2

Explanation / Answer

1. Factors of 330 are: 1 , 2 , 3 , 5 , 6 , 10 , 11 , 15 , 22 , 30 , 33 , 55 , 66 , 110 , 165 , 330.

Factors of 156 are: 1 , 2 , 3 , 4 , 6 , 12 , 13 , 26 , 39 , 52 , 78 , 156.

We see that the Greatest Common Factor (Divisor) is 6.

Please put each question separately.

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