# consecutive integers

### Prove that the difference of two consecutive cubes is never divisible by 3

Take two consecutive integers: n, n + 1 The difference of their cubes is: (n + 1)^3 - n^3 n^3 + 3n^2 + 3n + 1 - n^3 Cancel the n^3 3n^2 + 3n + 1...
Thread by: math_celebrity, Jan 24, 2024, 0 replies, in forum: Calculator Requests

### Prove the difference between two consecutive square numbers is always odd

Take an integer n. The next consecutive integer is n + 1 Subtract the difference of the squares: (n + 1)^2 - n^2 n^2 + 2n + 1 - n^2 n^2 terms...
Thread by: math_celebrity, Jan 19, 2024, 0 replies, in forum: Calculator Requests

### The difference between the squares of two consecutive numbers is 141. Find the numbers

The difference between the squares of two consecutive numbers is 141. Find the numbers Take two consecutive numbers: n- 1 and n Given a...
Thread by: math_celebrity, Jan 19, 2024, 0 replies, in forum: Calculator Requests

### If two consecutive even numbers are added, the sum is equal to 226. What is the smaller of the two n

If two consecutive even numbers are added, the sum is equal to 226. What is the smaller of the two numbers? Let the smaller number be n. The next...
Thread by: math_celebrity, Jan 14, 2023, 0 replies, in forum: Calculator Requests

### What is the average of 7 consecutive numbers if the smallest number is called n?

What is the average of 7 consecutive numbers if the smallest number is called n? First number = n Second number = n + 1 Third number = n + 2...
Thread by: math_celebrity, Jan 8, 2023, 0 replies, in forum: Calculator Requests

### What is the sum of four consecutive multiples of 5?

What is the sum of four consecutive multiples of 5? First number = n Second number = n + 5 Third number = n + 10 Fourth number = n + 15 Add them...
Thread by: math_celebrity, Dec 15, 2022, 0 replies, in forum: Calculator Requests

### There are five consecutive numbers and the smallest is called n. What is the largest number called?

There are five consecutive numbers and the smallest is called n. What is the largest number called? List out consecutive numbers. Each...
Thread by: math_celebrity, Dec 13, 2022, 0 replies, in forum: Calculator Requests

### The sum of 3 consecutive integers is greater than 30.

The sum of 3 consecutive integers is greater than 30. Let the first consecutive integer be n The second consecutive integer is n + 1 The third...
Thread by: math_celebrity, Jan 16, 2022, 0 replies, in forum: Calculator Requests

### sum of 3 consecutive odd integers equals 1 hundred 17

sum of 3 consecutive odd integers equals 1 hundred 17 The sum of 3 consecutive odd numbers equals 117. What are the 3 odd numbers? 1) Set up an...
Thread by: math_celebrity, Oct 31, 2021, 0 replies, in forum: Calculator Requests

### The sum of twice an integer and 3 times the next consecutive integer is 48

The sum of twice an integer and 3 times the next consecutive integer is 48 Let the first integer be n This means the next consecutive integer is...
Thread by: math_celebrity, Oct 21, 2021, 0 replies, in forum: Calculator Requests

### 4 consecutive integers such that the sum of the first 3 integers is equal to the 4th

4 consecutive integers such that the sum of the first 3 integers is equal to the 4th Let n be our first consecutive integer. n n + 1 n + 2 n + 3...
Thread by: math_celebrity, Oct 15, 2021, 0 replies, in forum: Calculator Requests

### the left and right page numbers of an open book are two consecutive integers whose number is 235 fin

the left and right page numbers of an open book are two consecutive integers whose number is 235 find the page numbers Using our consecutive...
Thread by: math_celebrity, Sep 20, 2021, 0 replies, in forum: Calculator Requests

### Three good friends are in the same algebra class, their scores on a recent test are three consecutiv

Three good friends are in the same algebra class, their scores on a recent test are three consecutive odd integers whose sum is 273. Find the...
Thread by: math_celebrity, Apr 17, 2021, 0 replies, in forum: Calculator Requests

### The sides of a triangle are consecutive numbers. If the perimeter of the triangle is 240 m, find the

The sides of a triangle are consecutive numbers. If the perimeter of the triangle is 240 m, find the length of each side Let the first side be n....
Thread by: math_celebrity, Jan 1, 2021, 0 replies, in forum: Calculator Requests

### The sum of two consecutive integers if n is the first integer.

The sum of two consecutive integers if n is the first integer. consecutive means immediately after, so we have: n n + 1 The sum is written as: n...
Thread by: math_celebrity, Nov 26, 2020, 0 replies, in forum: Calculator Requests

### If first integer is 5y, then the next two consecutive integers are

If first integer is 5y, then the next two consecutive integers are integers increase by 1, so we have: 5y + 1 5y + 1 + 1 = 5y + 2
Thread by: math_celebrity, Nov 22, 2020, 0 replies, in forum: Calculator Requests

### If n represents an odd integer what represents the previous smaller odd integer

If n represents an odd integer what represents the previous smaller odd integer Each odd integer is 2 away from the last one, so the previous...
Thread by: math_celebrity, Jul 11, 2020, 0 replies, in forum: Calculator Requests

### Let n be the middle number of three consecutive integers

Let n be the middle number of three consecutive integers This means: n is the second of three consecutive integers The first consecutive integer...
Thread by: math_celebrity, Jul 11, 2020, 0 replies, in forum: Calculator Requests