Aim How do we solve consecutive integer problems

Aim: How do we solve consecutive integer problems? Do Now: Let n = 1 n=1 n+1=2 n + __ = 3 n + __= 4 What is the pattern?

What does consecutive mean?

What does consecutive integers mean?

Consecutive integers • Consecutive means "one after another", or "in a row“ • Consecutive integers- integers that occur in order, one after the other • Examples: 1, 2, 3, 4

How do we represent consecutive integers? Do Now: Let n = 1 n=1 n+1=2 n + __ = 3 n + __= 4 What is the pattern?

Find two consecutive integers whose sum is 45. Procedure: 1. Write a let statement 2. Translate the word problem 3. Solve the equation Remember n represent the first integer among consecutive integers.

Can there be negative consecutive integers? • If so, what are some examples?

Two negative consecutive integers have a sum of -61. What are the integers?

Practice – Do not copy just solve! 1. Find two consecutive integers whose sum is 35 2. What two consecutive negative integers have a sum of -47? 3. What three consecutive integers have a sum of 21? 4. Find three consecutive integers whose sum is 126. 5. Find four consecutive integers whose sum is 14. 6. The sum of the least and greatest of 3 consecutive integers is 62. What are the values of the 3 integers?

Answers 1. 2. 3. 4. 5. 6. 17, 18 -24, -23 6, 7, 8 41, 42, 43 2, 3, 4, 5 30, 32

1. Find two consecutive integers whose sum is 35 2. The sum of two consecutive integers is 27. What are the two integers? 3. What three consecutive integers have a sum of 21? 4. Find three consecutive integers whose sum is 126. 5. Find four consecutive integers whose sum is 14. 6. The sum of the least and greatest of 3 consecutive integers is 60. What are the values of the 3 integers?

What are consecutive even integers? How do we represent consecutive even integers?

How do we represent consecutive odd integers?

Consecutive even integers VS Consecutive odd integers

Find two consecutive even integers whose sum is 26

Find three consecutive odd integers whose sum is 369.

The least of three consecutive odd integers is 2 more than half the largest. What are the integers?

Practice 1. Find two consecutive odd integers whose sum is 92. 2. Find three consecutive even integers whose sum is 126. 3. Find three consecutive even integers whose sum is 54. 4. The greater of two consecutive even integers is six less than twice the smaller 5. The sum of three consecutive odd integers is 17 less than four times the smallest integer.

Answers: 1. 2. 3. 4. 5. 45, 47 40, 42, 44 16, 18, 20 8, 10 23, 25, 27

1. 2. 3. 4. 5. Find two consecutive odd integers whose sum is 92. Find three consecutive even integers whose sum is 126. Find three consecutive even integers whose sum is 54. The greater of two consecutive even integers is six less than twice the smaller The sum of three consecutive odd integers is 17 less than four times the smallest integer.

Exit Slip • The sum of three consecutive odd integers is 40 more than the smallest. What are the integers?