Can the sum of three consecutive odd numbers?

Complete step-by-step answer: This shows that the answer will be a product of 3, n be any number. Thus, the same will be divisible by 3. Therefore, the sum of three consecutive odd numbers is always divisible by 3 and the correct answer is 3 .

What are 3 consecutive odd integers with the sum of 141?

The sum of the three consecutive odd integers is 141. So, n + (n + 2) + (n + 4) = 141. The integers are 45, 47, and 49. 28.

What is a consecutive odd number?

Consecutive Odd Numbers When we arrange them in ascending order, we can see that the difference between them is always 2. For example, the numbers 3, 5, 7, 9, and 11 are called consecutive odd numbers because the difference between any predecessor-successor pair is 2, like, 5 – 3 = 2 and 7 – 5 = 2.

What are three consecutive odd numbers that have a sum of 399?

The sum of these numbers is indeed 131 + 133 + 135 = 399. Therefore, the three consecutive odd numbers are 131, 133, and 135.

What 3 odd numbers add up to 105?

2 Answers By Expert Tutors Talented at math and want to share! how about 105/3 = 35, therefore the middle number is 35, and the 3 numbers are 33, 35, and 37.

How do you find three consecutive odd integers?

Every odd integer can be expressed in the form #2k+1# for some integer #k#. Given an odd integer #2k+1#, the next odd integer is #(2k+1)+2 = 2k+3# and the next after that is #2k+5#. If you want to find three consecutive odd integers to satisfy some property then you can substitute these expressions into the condition and solve for #k#.

What is the sum of three consecutive even integers?

Three consecutive even integers can be represented by x, x+2, x+4. The sum is 3x+6, which is equal to 108. Thus, 3x+6=108.

What are the three consecutive positive integers?

Let the three consecutive positive integers be n, n + 1 n+1 n+1 and n + 2 n+2 n+2. Whenever a number is divided by 3, the remainder obtained is either 0 , 1 0,1 0,1 or 2.

What is the difference between two consecutive odd numbers?

Given that “The sum of two consecutive odd integers is 28.”. Now the difference between two odd numbers is 2. So this means that one odd number has to be greater than the other by 2.