Instruction: Give the complete proof of the divisibility of 13. PROVE IT!! Step 1: Group the digits of N by 3’s and starting from the ones place. Step 2: Alternately add subtract each group. Step 3: If 13| the result of step 2, then 13|N.

Instruction: Give the complete proof of the divisibility of 13. PROVE IT!! Step 1: Group the digits of N by 3’s and starting from the ones place. Step 2: Alternately add subtract each group. Step 3: If 13| the result of step 2, then 13|N.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Related questions

Q: Use mathematical induction to show that 5? − 1 is divisible by 4. Determine the starting value as…

Q: A computer password consists of two capital letters selected from Z, A, R, X, S followed by three…

A: Given ,no.of letters =5 (Z,A,R,X,S)no.of digits=5 (2,3,6,8,9)

Q: Using the digits 2 through 8, find the number of different 5-digit numbers such that: (a) Digits…

A: Hi thankyou for posting this question, since you have posted multiple subparts as per our policy…

Q: In a race in which eight automobiles are entered and there are no ties, in how many ways can the…

Q: 1 101101, and 101, 2. 10111102 and 102 and 112 3. 1000012

A: Since there are multiple questions the first question is answered as per our guidelines. Kindly…

Q: Suppose each license plate in a certain state has three digits followed by three letters. The digits…

A: The objective of this question is to find out the total number of license plates that can be…

Q: Prove the given statement of divisibility of 13 Divisibility of 13 Method 1: Step 1:…

Q: (c) Create a magic multiplication table with the numbers 1, 3, 9, 27, 81, 243, 729, 2187, and 6561.…

Q: p Pq C N-n N-1

Q: Determine the pattern and find the missing term in each of the 1,1,1,3,5,9,17,31,_,_,_

A: Given pattern is: 1, 1, 1, 3, 5, 9, 17, 31, ....... Now we find that, 3 = 1 + 1 + 1 5 = 3 + 1 + 1 9…

Q: Example 8: Arranging students into presentation groups If a class has 28 students, how many…

A: In a class of 28 students We have to find how many different arrangements can five students give a…

Q: Question* How many ways can the letters of the word "PREVIOUS" be arranged if "PRE" must be next to…

A: We have to arrange the letters of "PREVIOUS" under the given condition.

Q: 4. How many triangles can you draw using the dots below as vertices? a. Find an expression for the…

A: This is my final answer. Explanation:Step 1: Part(a) Explanation: The vertices of a triangle are…

Q: evaluate the expression (-njn+n +nn-n when n = 2

A: We have given an expression -nn+n+nn-n Put n=2 -22+2+22-2=-24+20=16+1=17

Q: 3. Suppose b > 1 is an integer. The proof of the existence of a base b representation of any integer…

A: We have the formula: n = ap-bp + ap-1-bp-1 + ap-2-bp-2 + ⋯⋯ + a1(-b) + a0 where 0≤ai<10 ∀i…

Q: The books in a small bookstore all have barcodes. The bar codes have 14 digits, and the last 9…

A: 9 digits are 000565162

Q: Define circular permutation. Write the formula to find the circular permutation of “X” different…

A: Permutation and combination are 2 methods in mathematics. Permutation deals with the number of ways…

Q: How many consecutive zeroes are there at the end of 100! (100 factorial). For example, 12! -…

A: How many consecutive zeroes are there at the end of 100! We know that…

Q: Find the order of 4 modulo 49.

A: Evaluate order of 4 modulo 49.

Q: m = q192 ··•¶s – P192··· ¶s %3D .. =n – pi(q2 .qs) - = P1P2•• · Pr – P192 ··•92 .. = P1(P2 .· Pr –…

Q: There are 10 questions in a final ėxamination for Discrete Mathematics. Each question is assigned at…

Q: EQUATION

Q: True or False. Briefly explain why. {−13, −6, −3, 1, 10} is a complete residue system modulo 5.

Q: A bucket of KFC contains four legs and three wings. You by five buckets set up a distributing…

A: Given, A bucket of KFC contains four legs and three wings. Fve buckets are bought To be found :…

Q: Make a Systematic List 2) Product - The product of three whole numbers is 120. How many different…

Q: The demad function for A and B are as follows- **see picture** where qA and qB are the quantities…

A: Given demand function for A and B: qA=10pBpA . . . (1) qB=3pApB3…

Question

Instruction: Give the complete proof of the divisibility of 13. PROVE IT!!

Step 1: Group the digits of N by 3’s and starting from the ones place.

Step 2: Alternately add subtract each group.

Step 3: If 13| the result of step 2, then 13|N.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Step by step

Solved in 3 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

in 2 rows there are 5 armchairs and all are occupied , in how many differnt ways can theses people sit if it is known that they can change the seats in their row
How many ways can we rearrange the word COLOR such that the two O's won't be next to each other?
How do we say and read the exclamation mark notation for permutations and combination
Find the 15th term of the geometric 1,2,4, .. O 65, 536 8, 192 O 16, 384 O 32,768
Permutations Use the permutations to solve the given problem. Explain your answer. Show your solution. 1) There are 6 plates numbered 4, 5, 6, 7, 8, and 9. a) If you choose 3 plates out of 6 and arrange them in a row, how many three-digit numbers can be formed? b) If you choose 3 plates out of 6 and arrange them in a row, how many different three-digit odd numbers can be formed? c) you choose 3 plates out of 6 and arrange them in a row, how many different three-digit numbers larger than 700 can be formed? Show your solution.
Uning the digits 5, 6, 7, 8. How many 4 digit numbers can be formed (Repetition not allowed).
(a) At a glance, determine the digit d so that 64,275,67d is divisible by 4. Is there more than one answer? (b) Can you choose the digit d so that 64,275,67d is divisible by 8 and not 16? O A. The digit d can be 6. Oc. The digit d can be 4 or 8. B. The digit d can be 0, 2, or 6. D. The digit d can be 8. O E. The digit d can be 2 or 6. OF. The digit d can be 0. O G. The digit d can be 2. O H. The digit d can be 4. O 1. The digit d can be 0, 2, 4, 6, or 8. O J. The digit d can be 0, 4, or 8.
Find the order of 5 modulo 31.
help