Consecutive Even and Odd Integer Problems

Consecutive Even and Odd Integer Problems

Consecutive even numbers

• 2, 4, 6, 8, 10. 12. 14, etc...

• Notice that if the first number is x, then the second number is x+2

• The third number is x+4.

Consecutive Odd Integers

• 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, etc

• Just like the even integers, the first number is x

• The second number is x+2

• The third number is x+4

• The fourth number would be x+6 and so on.

Multiple Choice

The sum of three consecutive even integers is 138. Find the integers. Which is the correct way to represent the three consecutive even integers?

• Let x = first integer

  Let x+1 = the 2nd even integer

  Let x+2 = the 3rd even integer

• Let x = first integer

  Let x+2 = the 2nd even integer

  Let x+4 = the 3rd even integer

Poll

I am good at setting up and solving consecutive integer problems.

• I strongly agree

• I agree

• I kind of agree

• I don't agree

Open Ended

Twice the larger of two consecutive integers is equal to fifteen less than three times the smaller. 

 $Let\ x\ =\ 1st\ \ con\sec utive\ integer$  

 $Let\ x+1\ =\ 2nd\ \left(l\arg er\right)\ con\sec utive\ integer$ 

What are the two consecutive  integers?

Multiple Choice

The sum of three consecutive even integers is 138. Find the integers. Which is the correct equation to solve this problem?

• $x+x+1+x+2=138$

• $x+x+2+x+4=138$

Multiple Choice

The sum of three consecutive even integers is 138. Find the integers. 

 $x+x+2+x+4=138$ 

  $3x+6=138$  

•  $\left\{44,\ 46,\ 48\right\}$  

•  $\left\{42,\ 44,\ 46\right\}$  

•  $\left\{40,\ 42,\ 44\right\}$  

•  $\left\{24,\ 44,\ 48\right\}$  

Multiple Choice

The sum of three consecutive odd integers is 17 less than four times the smallest integer. Which is the correct equation?

• $x+x+1+x+3=17$

• $x+x+2+x+4=4x-17$

Multiple Choice

The sum of three consecutive odd integers is 17 less than four times the smallest integer. 


 $x+x+2+x+4=4x-17$  

 $3x+6=4x-17$  

What are the three consecutive odd integers?

•  $\left\{21,\ 22,\ 23\right\}$  

•  $\left\{21,\ 23,\ 25\right\}$  

•  $\left\{23,\ 25,\ 27\right\}$  

•  $\left\{22,\ 24,\ 26\right\}$