Use strong induction to show that any amount of postage more than one cent can be formed using just two-cent and three-cent stamps. (please be detailed!)
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Use strong induction to show that any amount of postage more than one cent can be formed using just two-cent and three-cent stamps. (please be detailed!)
Prove the statement n cents of postage can be formed using just 4-cent and 11-cent stamps...
Prove the statement n cents of postage can be formed
using just 4-cent and 11-cent stamps using mathematical induction,
where n ≥ 30.
Click and drag the given steps (on the right) to the corresponding step names given on the left) to carry out the inductive steps of the proof, after the inductive hypothesis has already been assumed in (b). Step 1 Replace eight 4-cent stamps by three 11-cent stamps, and we have formed k+ 1 cents in postage (3....
4. Let P(n) be the statement that a postage of n cents can be formed using just 4-cent stamps and...
4. Let P(n) be the statement that a postage of n cents can be formed using just 4-cent stamps and 7-cent stamps. The parts of this exercise outline a strong induction proof that P (n) is true forn > 18. a) Show statements P(18), P(19), P (20), and P(21) are true, completing the basis step of the proof. b) What is the inductive hypothesis of the proof? c) What do you need to prove in the inductive step? d) Complete...
Exercise 8.6.1: Proofs by strong induction - combining stamps. Prove each of the following statements using...
Exercise 8.6.1: Proofs by strong induction - combining stamps. Prove each of the following statements using strong induction Prove that any amount of postage worth 8 cents or more can be made from 3-cent or 5-cent stamps. (0) Prove that any amount of postage worth 24 cents or more can be made from 7-cent or 5-cent stamps. Prove that any amount of postage worth 12 cents or more can be made from 3-cent or 7-cent stamps
Please show all the steps and explain. Prove that every amount of postage of 18 cents...
Please show all the steps and explain.
Prove that every amount of postage of 18 cents or more can be formed using just 4-cent and 7-cent stamps
Prove that every amount of postage of 18 cents or more can be formed using just 4-cent and 7-cent stamps
3. Let P(n) be the statement that a postage of n cents can be formed using...
3. Let P(n) be the statement that a postage of n cents can be formed using just 3-cent stamps and 5-cent stamps. The 5 / Induction and Recursion parts of this exercise outline a strong induction proof that P(n) is true for n 18. a) Show statements P(18), P(19), P(20), and P(21) are true, completing the basis step of the proof. b) What is the inductive hypothesis of the proof? c) What do you need to prove in the inductive...
Instructions: Please show all of your work. Unsupported answers may receive no credit. 1. (20 pts)...
Instructions: Please show all of your work. Unsupported answers may receive no credit. 1. (20 pts) Use mathematical induction to show that for integers n 21, 2.21 +3.22 + ... + (n + 1)21 = n. 21+1 w 2. (20 pts) Let P(n) be statement that a postage of n cents can be formed using only 4-cent and 7-cent stamps. Using strong induction, prove P(n) is true for n 2 18.
please help with 6a b and C 6. Prove by strong induction: Any amount of past...
please help with 6a b and C
6. Prove by strong induction: Any amount of past be made using S 7 and 13 cent stamps. (Fill in the blank with the smallest number that makes the statement true). Let fib(n) denote the nth Fibonacci number, so fib(0) - 1, fib(1) - 1, fib(2) -1, fib(3) = 2, fib(4) – 3 and so on. Prove by induction that 3 divides fib(4n) for any nonnegative integer n. Hint for the inductive step:...
URGENT: (discrete math) please help. I'll rate positive immidiately. 5. (a) Use identities to determine the...
URGENT: (discrete math) please help. I'll rate positive
immidiately.
5. (a) Use identities to determine the value of 393 + 40% +41 +423 + 433 + ... +793 (b) Determine which amount of postage can be formed using 4-cent and 5-cent stamps. Then prove your answer using strong induction. 6. (a) Compute the coefficient of x'yin (20+5y) and the coefficient of xy in (30+4 Which is larger? Why? (b) A poker hand consists of 5 cards. What is the probability...
words"like determine','obtain',construct,or show request proof. please show your work thanks! Which amounts of money can be formed using just two dollar bills and five-dollar bills? P...
words"like determine','obtain',construct,or show request proof.
please show your work thanks!
Which amounts of money can be formed using just two dollar bills and five-dollar bills? Prove your answer using strong induction. Let E(m) be the statement that in a triangulation of a simple polygon with n sides, at least one of the triangles in the triangulation has two sides bordering the exterior of the polygon
Which amounts of money can be formed using just two dollar bills and five-dollar bills?...
Prove using mathematical induction that for every positive integer n, = 1/i(i+1) = n/n+1. 2) Suppose...
Prove using mathematical induction that for every positive integer n, = 1/i(i+1) = n/n+1. 2) Suppose r is a real number other than 1. Prove using mathematical induction that for every nonnegative integer n, = 1-r^n+1/1-r. 3) Prove using mathematical induction that for every nonnegative integer n, 1 + i+i! = (n+1)!. 4) Prove using mathematical induction that for every integer n>4, n!>2^n. 5) Prove using mathematical induction that for every positive integer n, 7 + 5 + 3 +.......
Prove the statement n cents of postage can be formed
using just 4-cent and 11-cent stamps using mathematical induction,
where n ≥ 30.
Click and drag the given steps (on the right) to the corresponding step names given on the left) to carry out the inductive steps of the proof, after the inductive hypothesis has already been assumed in (b). Step 1 Replace eight 4-cent stamps by three 11-cent stamps, and we have formed k+ 1 cents in postage (3....
4. Let P(n) be the statement that a postage of n cents can be formed using just 4-cent stamps and 7-cent stamps. The parts of this exercise outline a strong induction proof that P (n) is true forn > 18. a) Show statements P(18), P(19), P (20), and P(21) are true, completing the basis step of the proof. b) What is the inductive hypothesis of the proof? c) What do you need to prove in the inductive step? d) Complete...
Exercise 8.6.1: Proofs by strong induction - combining stamps. Prove each of the following statements using strong induction Prove that any amount of postage worth 8 cents or more can be made from 3-cent or 5-cent stamps. (0) Prove that any amount of postage worth 24 cents or more can be made from 7-cent or 5-cent stamps. Prove that any amount of postage worth 12 cents or more can be made from 3-cent or 7-cent stamps
Please show all the steps and explain.
Prove that every amount of postage of 18 cents or more can be formed using just 4-cent and 7-cent stamps
Prove that every amount of postage of 18 cents or more can be formed using just 4-cent and 7-cent stamps
3. Let P(n) be the statement that a postage of n cents can be formed using just 3-cent stamps and 5-cent stamps. The 5 / Induction and Recursion parts of this exercise outline a strong induction proof that P(n) is true for n 18. a) Show statements P(18), P(19), P(20), and P(21) are true, completing the basis step of the proof. b) What is the inductive hypothesis of the proof? c) What do you need to prove in the inductive...
Instructions: Please show all of your work. Unsupported answers may receive no credit. 1. (20 pts) Use mathematical induction to show that for integers n 21, 2.21 +3.22 + ... + (n + 1)21 = n. 21+1 w 2. (20 pts) Let P(n) be statement that a postage of n cents can be formed using only 4-cent and 7-cent stamps. Using strong induction, prove P(n) is true for n 2 18.
please help with 6a b and C
6. Prove by strong induction: Any amount of past be made using S 7 and 13 cent stamps. (Fill in the blank with the smallest number that makes the statement true). Let fib(n) denote the nth Fibonacci number, so fib(0) - 1, fib(1) - 1, fib(2) -1, fib(3) = 2, fib(4) – 3 and so on. Prove by induction that 3 divides fib(4n) for any nonnegative integer n. Hint for the inductive step:...
URGENT: (discrete math) please help. I'll rate positive
immidiately.
5. (a) Use identities to determine the value of 393 + 40% +41 +423 + 433 + ... +793 (b) Determine which amount of postage can be formed using 4-cent and 5-cent stamps. Then prove your answer using strong induction. 6. (a) Compute the coefficient of x'yin (20+5y) and the coefficient of xy in (30+4 Which is larger? Why? (b) A poker hand consists of 5 cards. What is the probability...
words"like determine','obtain',construct,or show request proof.
please show your work thanks!
Which amounts of money can be formed using just two dollar bills and five-dollar bills? Prove your answer using strong induction. Let E(m) be the statement that in a triangulation of a simple polygon with n sides, at least one of the triangles in the triangulation has two sides bordering the exterior of the polygon
Which amounts of money can be formed using just two dollar bills and five-dollar bills?...
Prove using mathematical induction that for every positive integer n, = 1/i(i+1) = n/n+1. 2) Suppose r is a real number other than 1. Prove using mathematical induction that for every nonnegative integer n, = 1-r^n+1/1-r. 3) Prove using mathematical induction that for every nonnegative integer n, 1 + i+i! = (n+1)!. 4) Prove using mathematical induction that for every integer n>4, n!>2^n. 5) Prove using mathematical induction that for every positive integer n, 7 + 5 + 3 +.......
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