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Consecutive Integers

Consecutive integer troubles are word problems that involve consecutive integers.

You are watching: How to find 3 consecutive odd integers

Consecutive integers space integers the follow in sequence, every number gift 1 much more than the ahead number, represented by n, n +1, n + 2, n + 3, …, where n is any integer. Because that example: 23, 24, 25, …

If we start with an even number and also each number in the sequence is 2 an ext than the vault number then us will acquire consecutive also integers. For example: 16,18, 20, …

If we begin with an odd number and also each number in the succession is 2 more than the previous number then we will get consecutive weird integers. For example: 33, 35, 37, …

The complying with are some examples of continually odd creature problems. Scroll down the page for more examples and solutions on consecutive odd integers.


Example:The lengths that the political parties of a triangle are consecutive strange numbers. What is the size of the longest next if the perimeter is 45?

Solution:Step 1: gift consecutive odd numbers we need to include 2 come the vault number.

Assign variables:Let x = length of shortest sidex + 2 = size of tool sidex + 4 = length of longest side

Step 2: sketch the figure

step 2: create out the formula for perimeter the triangle. 

P = sum of the three sides

Step 3: plugin the worths from the question and from the sketch.

45 = x + x + 2 + x + 4 incorporate like terms 45 = 3x + 6 isolate variable x 3x = 45 – 6 3x = 39x = 13

Step 4: examine your answer

13 + 13 + 2 + 13 + 4 = 45

Be careful! The question requires the length of the longest side.

The length of longest = 13 + 4 =17

Answer: The size of longest next is 17

How the solve the integer indigenous problem?

Example:The amount of 3 consecutive odd essence is 231. What is the largest integer?.

How to discover consecutive even and also odd numbers given the sums?


Find three consecutive also numbers whose amount is 84Find 4 consecutive odd numbers whose sum is 152

Consecutive Odd essence Problem

Example:The product of two consecutive strange integers is 99. What are the numbers?

Consecutive strange Integers - Hard

Example:Find 3 consecutive weird integers so that the amount of double the first, the 2nd and 3 times the third is 152.

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Find Integers That are Consecutive, continuous Even, or continuous OddThis video clip goes through examples of detect consecutive integers, continually odd integers, & consecutive also integers that include up to a offered number.


The amount of 3 consecutive integers is 657; discover the integers.The sum of 3 consecutive odd integers is 597; find the integers.The sum of 3 consecutive also integers is 528; uncover the integers.

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