We know that sum of numbers equal to multiple of 3 then the number is divisible by 3 then if the same number is in decimal form than that number will also be divisible by 3.
berry pie in town. What und you say! 6. Prove: If 3 divides the sum of...
I am a 3-digit number divisible by three my tens digit is three times as great as my hundreds digit and the sum of my digits is 15 if you reverse my digits i am divisible by 6 as well as by three
Discrete Math A Criterion for Divisibility by 3. Prove that a number is divisible by 3 if the sum of its digits (when written in base 10) is divisible by 3. Again, it will help to remember what decimal notation means.
16.5.3 If f(2r)2+xforall x >0, then what is 2f(x)? (Source: AHSME 16.5.4 Let () and S(n) denote the product and the sum, respectively, of the digits of the integer n. For example, P(23-6 and S(23)-5. Suppose N is a two-digit number such that N-P(N) + S(N). What is the units digit of N? (Source: AMC 12) Hints: 155 function f(x, y) of two variables has the property that 16.5.5 A fx, y)+f(x-1,x -y) 16.5.3 If f(2r)2+xforall x >0, then what...
The first significant digit in any number must be 1, 2, 3, 4, 5, 6, 7, 8, or 9. It was discovered that first digits do not occur with equal frequency. Probabilities of occurrence to the first digit in a number are shown in the accompanying table. The probability distribution is now known as Benford's Law. For example, the following distribution represents the first digits in 194 allegedly fraudulent checks written to a bogus company by an employee attempting to...
The first significant digit in any number must be 1, 2, 3, 4, 5, 6, 7, 8. or. It was discovered that first digits do not our with equal frequency Probabilities of occurrence to the first digit in a number are shown in the accompanying table. The probability distribution is now known as Benford's Law For example, the following dibution represents the first digits in 207 alegedly fraudulent checks written to a boa company by an employee attempting to embezzle...
Here is what i have so far... However i am having a little bit of trouble with it. when inputting a number the sum comes out perfect but when i break the digits up i cant do mmore than 4 digits and i cant do a negitive number... someone help. QUESTION: Write a program that prompts the user to input an integer and then outputs both the individual digits of the number and the sum of the digits. For example,...
please help with b) and c) Thank you:) (a) The harmonic series diverges very slowly. Prove that the sum of the first 106 terms is less than 15 and that the sum of the first 10° terms is less than 22. (You should not actually calculate these sums!) [2 marks] (b) Determine whether the series 10n +1 101 is convergent or divergent. [3 marks] (c) Consider the series whose terms are the reciprocals of the positive integers whose decimal represen-...
(use only variables, expression, conditional statement and loop of c programming) ***C programming** int sum_of_cubes(int n) { } int quadrant(int x, int y) { } int num_occurrences_of_digit(long num, int digit) { return 0; } 3.1 int sum_of_cubes(int n) This function should return the sum of the cubes of the first n integers. For example, if n is 4, it should return 13 +23+ 39 +4°. There is a simple formula for the result: 3x = ((n + 1)) = +...
Suppose you roll a special 6-sided die. What is the probability that the number rolled is a "4" OR a "5"? Enter you answer as a fraction or a decimal with 3 decimal digits.
Banks issue credit cards with 16 digit numbers. If you've never thought about it before you may not realize it, but there are specific rules for what those numbers can be. For example, the first few digits of the number tell you what kind of card it is - all Visa cards start with 4, MasterCard numbers start with 51 through 55, American Express starts with 34 or 37, etc. Automated systems can use this number to tell which company...