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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

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?

Examples:

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.

Examples:

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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