Question: What Three Consecutive Numbers Have A Sum Of 123?

What 3 consecutive numbers have a sum of 126?

Three consecutive numbers are x, x 1, and x + 2.

41 + 42 + 43 = 126 for the check..

What 3 consecutive numbers equal 51?

So the three numbers whose sum is 51 are 16, 17 and 18.

What three consecutive numbers have a sum of 75?

The sum of the three consecutive odd integers is 75. So, n + (n + 2) + (n + 4) = 75. The integers are 23, 25, and 27. 10.

What is the sum of n terms?

The sum of n terms of AP is the sum(addition) of first n terms of the arithmetic sequence. It is equal to n divided by 2 times the sum of twice the first term – ‘a’ and the product of the difference between second and first term-‘d’ also known as common difference, and (n-1), where n is numbers of terms to be added.

What three consecutive even integers have a sum of 36?

Answer and Explanation: Three consecutive integers whose sum is 36 are 11, 12, and 13. By definition, three consecutive integers take on the form n, n + 1, n + 2.

What is the sum of 3 consecutive odd numbers is 51?

So n+n+2+n+4=51 . n=453=15 .

How do you find the sum of n numbers?

Sum of First n Natural Numbers. We prove the formula 1+ 2+ … + n = n(n+1) / 2, for n a natural number. There is a simple applet showing the essence of the inductive proof of this result.

How do you find the sum of consecutive odd numbers?

If 1,3,5,7,9,11,…, (2n-1) are the odd numbers, then;Sum of first odd number = 1.Sum of first two odd numbers = 1 + 3 = 4 (4 = 2 x 2).Sum of first three odd numbers = 1 + 3 + 5 = 9 (9 = 3 x 3).Sum of first four odd numbers = 1 + 3 + 5 + 7 = 16 (16 = 4 x 4).

What are three consecutive odd numbers?

Therefore, consecutive odd integers are odd integers that follow each other in direct order (for example: 5, 7, 9) Since there are two units between each odd integer, we can represent consecutive odd integers as x, x + 2, x + 4, x + 6, and so on.

What three consecutive integers have a sum of 21?

Therefore, three consecutive integers that add up to 21 are 6, 7, and 8.

What is a consecutive number?

more … Numbers which follow each other in order, without gaps, from smallest to largest. 12, 13, 14 and 15 are consecutive numbers. 22, 24, 26, 28 and 30 are consecutive even numbers.

What is the sum of three consecutive numbers is 72?

23 24 25. Therefore, the three consecutive numbers whose sum is 72 are 23, 24, and 25, and 23 is certainly the smallest. x+1 and x+2. The smallest of the three integers is modeled by the variable x, so this is our answer.

What is the sum of 3 consecutive even numbers is 78?

So the three consecutive even numbers become ‘x’, ‘x+2′, ‘x+4′. According to the given condition, the sum of three consecutive even numbers is 78. x=24. Hence the three consecutive even numbers are 24, 26 and 28.

What 3 numbers equal 75?

Therefore, three consecutive integers that add up to 75 are 24, 25, and 26.

What is the sum of 3 consecutive numbers?

Correct answer: Explanation: Three consecutive even integers can be represented by x, x+2, x+4. The sum is 3x+6, which is equal to 108.

What is the formula for the sum of consecutive numbers?

By using Carl Gauss’s clever formula, (n / 2)(first number + last number) = sum, where n is the number of integers, we learned how to add consecutive numbers quickly. We now know that the sum of the pairs in consecutive numbers starting with the first and last numbers is equal.

Why is the sum of three consecutive numbers divisible by 3?

By the distributive law of multiplication over addition, we can say that the Sum of three consecutive numbers = 3 x (smallest number + 1). Since the right hand side of the equation is divisible by 3, the left hand side must also be! So, the sum of three consecutive numbers is divisible by 3!

What is the sum of 3?

NumberRepeating Cycle of Sum of Digits of Multiples3{3,6,9,3,6,9,3,6,9}4{4,8,3,7,2,6,1,5,9}5{5,1,6,2,7,3,8,4,9}6{6,3,9,6,3,9,6,3,9}8 more rows