Consecutive integers problems
1.The sum of two consecutive integers is 120. Find the value of the smaller integer.
Answer and Explanation:
The first number is 59, the second number is 59 + 2 = 61.
2.The sum of two consecutive odd integers is 60. What are the integers?
Answer and Explanation:
The two consecutive numbers are, x = 29. x+2 = 29 + 2 = 31.
3.What is the sum of the first 60 consecutive odd numbers?
Answer and Explanation:
We have to find the sum of the first 60 consecutive off numbers. So . Therefore, the required sum = 60 2 = 3600 .
4. What are five consecutive integers whose sum is 60?
Answer and Explanation:
Here, 60/5 = 12. So, the 5 consecutive numbers are 10, 11, 12, 13 and 14.12
5. What is the sum of the first n consecutive odd integers?
Answer and Explanation:
sum of the first n odd numbers is n x n or n2. For example, if we put n = 21, then we have 21 x 21 = 441, which is equal to the sum of the first 21 odd numbers.
Facts
The term consecutive numbers is used to frame word problems.
The sum of any two consecutive numbers is always odd. Example, 5 + 6 = 11