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Arithmetic Dynamics 1. Compute the cycle length of mltiplication by mod & a-3 -7 6-7 a7, 6-12 a17. 6-25 a2. 6-...
Question Lisiaiq a modular arithmetic Compute the following a) –3 mod 5; 9' mad 26; 2t...
Question Lisiaiq a modular arithmetic Compute the following a) –3 mod 5; 9' mad 26; 2t med 9; 8t med 13 6) Find X (smallest) from 9 = 2* (med 11)
AB=(-6 a7 [12 is and B= 1 4 2 - 3 solving AB with your A...
AB=(-6 a7 [12 is and B= 1 4 2 - 3 solving AB with your A matrix. Find A. Check your answer by
Find (i) 2^25 mod 21, (ii) 7^66 mod 120 and (iii) the last two digits of...
Find (i) 2^25 mod 21, (ii) 7^66 mod 120 and (iii) the last two digits of 1 + 7^162 + 5^121 * 3^312
7. Prove or disprove: If we know that 2X +6=4 (mod 8), then X +3 =...
7. Prove or disprove: If we know that 2X +6=4 (mod 8), then X +3 = 2 (mod 8). 8. Prove or disprove: If we know that 2X+6 = 4 (mod 7), then X+3 = 2 (mod 7). 9. Let S be the set {311, 254, -172,45,2019, 111,3}. Find a subset T such that the sum of the elements in divisible by 7
4. 5. 6. 7. 8 Find the 15th term of the arithmetic sequence whose common difference...
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Find the 15th term of the arithmetic sequence whose common difference is d=9 and whose first term is a, = 2. 8 Х 5 ? 3 4 5 6 For a given arithmetic sequence, the 89th term, agg, is equal to – 233, and the 9th term, do, is equal to 7. Find the value of the 33' term, 233- 0 433 X ? Check 2020 Merwe 2 # 3 $ 4 % 5 8...
(3) Solve the following linear congruence: 271 = 12 mod 39. (4) Solve the following set...
(3) Solve the following linear congruence: 271 = 12 mod 39. (4) Solve the following set of simultaneous linear congruences: 3x = 6 mod 11, x = 5 mod 7 and 2x = 3 mod 15.
2 -2 2 2 2) A2 3 1 1 6 -6 7 7 2) 1 1-11...
2 -2 2 2 2) A2 3 1 1 6 -6 7 7 2) 1 1-11 1. What is the deteminant of A? 3. Find a basis for Col A? 4. Find a basis of NULA 6 List 6 vectors in Col A. How many vectors belonging to Nul A that you can list? Why?
13. In an arithmetic sequence , +7. If I =-5 determine the values of I, and...
13. In an arithmetic sequence , +7. If I =-5 determine the values of I, and to show the calculations that lead to your answers 14. If x4,2x+5 and 4x + 3 represent the first three terms of an arithmetic sequence, then find the value of x. What is the fourth term? 15.18 S(1)=12 and f() = S(n-1)- 4 then which of the following represents the value of S(40)? (1) -148 (3) - 144 (2) - 140 (4) -172 16....
Solve the congruence equation arb(mod 13). b-7 d 1. 11. d-9 1, b 8, d9 4, b6 d a2, b6 dm4 5, b8d Soue the con...
Solve the congruence equation arb(mod 13). b-7 d 1. 11. d-9 1, b 8, d9 4, b6 d a2, b6 dm4 5, b8d Soue the congruente eguation axblmod 13) d a a Ti a V) a 4 v) a P vi a- s
Solve the congruence equation arb(mod 13). b-7 d 1. 11. d-9 1, b 8, d9 4, b6 d a2, b6 dm4 5, b8d
Soue the congruente eguation axblmod 13) d a a Ti a V) a 4...
Arithmetic progression def arithmetic_progression(elems): An arithmetic progression is a numerical sequence so that the stride between...
Arithmetic progression def arithmetic_progression(elems): An arithmetic progression is a numerical sequence so that the stride between each two consecutive elements is constant throughout the sequence. For example, [4, 8, 12, 16, 20] is an arithmetic progression of length 5, starting from the value 4 with a stride of 4. Given a list of elems guaranteed to consist of positive integers listed in strictly ascending order, find and return the longest arithmetic progression whose all values exist somewhere in that sequence....
Question Lisiaiq a modular arithmetic Compute the following a) –3 mod 5; 9' mad 26; 2t med 9; 8t med 13 6) Find X (smallest) from 9 = 2* (med 11)
AB=(-6 a7 [12 is and B= 1 4 2 - 3 solving AB with your A matrix. Find A. Check your answer by
7. Prove or disprove: If we know that 2X +6=4 (mod 8), then X +3 = 2 (mod 8). 8. Prove or disprove: If we know that 2X+6 = 4 (mod 7), then X+3 = 2 (mod 7). 9. Let S be the set {311, 254, -172,45,2019, 111,3}. Find a subset T such that the sum of the elements in divisible by 7
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Find the 15th term of the arithmetic sequence whose common difference is d=9 and whose first term is a, = 2. 8 Х 5 ? 3 4 5 6 For a given arithmetic sequence, the 89th term, agg, is equal to – 233, and the 9th term, do, is equal to 7. Find the value of the 33' term, 233- 0 433 X ? Check 2020 Merwe 2 # 3 $ 4 % 5 8...
(3) Solve the following linear congruence: 271 = 12 mod 39. (4) Solve the following set of simultaneous linear congruences: 3x = 6 mod 11, x = 5 mod 7 and 2x = 3 mod 15.
2 -2 2 2 2) A2 3 1 1 6 -6 7 7 2) 1 1-11 1. What is the deteminant of A? 3. Find a basis for Col A? 4. Find a basis of NULA 6 List 6 vectors in Col A. How many vectors belonging to Nul A that you can list? Why?
13. In an arithmetic sequence , +7. If I =-5 determine the values of I, and to show the calculations that lead to your answers 14. If x4,2x+5 and 4x + 3 represent the first three terms of an arithmetic sequence, then find the value of x. What is the fourth term? 15.18 S(1)=12 and f() = S(n-1)- 4 then which of the following represents the value of S(40)? (1) -148 (3) - 144 (2) - 140 (4) -172 16....
Solve the congruence equation arb(mod 13). b-7 d 1. 11. d-9 1, b 8, d9 4, b6 d a2, b6 dm4 5, b8d Soue the congruente eguation axblmod 13) d a a Ti a V) a 4 v) a P vi a- s
Solve the congruence equation arb(mod 13). b-7 d 1. 11. d-9 1, b 8, d9 4, b6 d a2, b6 dm4 5, b8d
Soue the congruente eguation axblmod 13) d a a Ti a V) a 4...
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