The sum 1 + 2+ 3+...+ n is equal to one three-digit number with the same digits. Determine that number.

Q: The sum of the even numbers between 59 and 613 is how much less than the sum of the odd numbers…

A: We have to find the difference

Q: • There are 3 questions in a question paper. If the questions have 4,3 and 2 solutions respectively,…

A: We want to find the total number of solutions = ?

Q: Which expression has a sum of 42?

A: The objective is to find the expression which has sum of 42.

Q: The sum 1 + 2+ 3+ ... +n is equal to one three-digit number with the same digits. Determine that…

A: Given the sum is three digit number with the same digit , let the number be aaa Hence 1+2+3+...+n =…

Q: Give the sum: 8 Σ 2 \* x=1

A: Use the formula for the summation of a finite geometric series.

Q: If the sum of n even natural number is 420,find the value of n

A:

Q: What number has a remainder of 2 when divided by 3, a remainder of 3 when divided by 5 and a…

A:

Q: how many positive integers less than 150 with a remainder of 3 if divided by 7?

A: To find number of positive integers less than 150 with a a remainder of 3 if divided by 7

Q: Find the sum of the integers from -10 to 110

A: an=a +(n-1)d Sn= n/2[a+an] Where n is the term  a is the first term an is the nth term  d is the…

Q: Find three consecutive odd integers whose sum is 483

A:

Q: What two integers have a product of -49 and a sum of 0?

A: Given,  Two integers have a product of -49 and a sum of 0. What are those integers?

Q: One digit is 61.5% of another digit. The sum is 56651.56.  what are the digits?

A:

Q: Find 3 consecutive even integers who's sum is between 46 and 62

A: Let the 3 consecutive even integers arex,x+2,x+4Sum of these numbers arex+x+2+x+4=3x+6It is given…

Q: 1) The sum of three consecutive even integers is 768. Find the integers.

A: Solve to find the integers

Q: If the sum of the first n even natural numbers is 420, find the value of n

A:

Q: The product of an even number and any other number is even.

A: The product of an even number and any other number is even.

Q: Find a number between 3.24 and 3.241, if there is one. If there is no number between them, explain…

A: Between any two distinct re numbers,  there are infinity many real numbers.

Q: What is the sum of the first 20 multiples of five?

A: Given first 20 multiples of five

Q: If the 8th term of an AP is 31 and the 15th term is 16 more than th 11th term ,find the AP

A:

Q: What is the sum of the integers between -2 and 10

A: sum of -2 and 10

Q: 1. The sum and difference of two numbers are 50 and 16, respectively. Find the numbers.

A:

Q: Find the sum of the first 100 numbers ending in 5.

A:

Q: When the positive integer n is divided by 6, the remainder is 2. What is the remainder when 24n is…

A: Given  When the positive integer n is divided by 6, remainder is 2

Q: Find all ways how to rewrite fraction as the sum of two fractions with 1 as the numerators and the…

A: Assume 1x+1y=16 where x and y are natural numbers.   Solving,x+yxy=166x + 6y = xy

Q: A contest will have five cash prizes totaling $5000, and there will be a $100 difference between…

A: Given, a contest will have five cash prizes totaling ,  $5000,and there will be a %100 difference…

Q: Find three consecutive odd integers whose sum is 477 (Hint: if n represents the smallest of the…

A: Given :       To determine three consecutive add integers whose sum is 477 .

Q: In a GP the 6th term is 16 and the 3rd term is 128. Find the sum of the first 10 terms and the sum…

A: A geometric progression or a geometric sequence is a sequence of non zero numbers, where each terms…

Q: When an integer n is divided by 6, the remainder is 5. What are the possible values of the remainder…

A: From the statement, we can say that

Q: What is the number halfway between 3 - 1/3 and 2 + 5/7 ?

A: Average

Q: Find the sum of 17 terms of an AP whose middle term is 40

A:

Q: What is the sum of all positive integer multiples of 5 less than 1000? In other words, what is the…

A: We solve the problem by following step.

Q: the left and right page of an open bookare two consecutive intergers whose sum is 253?

A: let the page numbers are left page n and right page is (n+1)

Q: lockers

A:

Q: The sum 1 + 2+3+ ...+n is equal to one three-digit number with the same digits. Determine that…

A: The sum of first n natural numbers can be represented by the formula:  1+2+3+……+n=n(n+1)2  . The…

Q: 2.

A:

Q: The greater of two consecutive integers is five more than twice the lesser integer. What are the two…

A:

Q: Find the positive integer which leaves the remainder 2, 3, 2  when it is divided by 7, 9 and 11…

A:

Q: The first term and the last term of an AP are17 and 350 respectively.If the common difference is…

A:

Q: What is the sum of 3 and and - 2

A:

Q: What is the sum of the first 64 consecutive odd numbers

A:

Q: Find the difference between the sum of the first 400 even numbers and the sum of the first 400 odd…

A:

Q: A two digit number is obtained by either multiplying the sum of digits by 8 and then subtracting 5…

A:

Q: If three numbers are added in pairs, the sums equal 10,19 and 21 . find the numbers

A:

Q: A King in ancient times agreed to reward the inventor of chess with one grain of wheat on the first…

A: Using the rules of Geometric progression we can solve for the statement

Q: There are 5 runners on each relay- race team. The first member runs 30 miles. Each team member runs…

A: I am going to solve the given problem by using some simple algebra to get the required result.