Quick Answer: How Do You Find The Sum Of Three Consecutive Odd Integers?

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

Let the middle number be x.

Then the 3 numbers will be, x-1, x and x+1.

Therefore x-1+x+x+1=51.

Therefore: 16+17+18= 51..

What is the sum of odd numbers 1 to 50?

Answer. =625. Therefore the sum of all odd numbers between 0 and 50 is 625.

Can a sum of three odd numbers be even?

Without cheating, it’s not possible because sum of three odd numbers can’t be even. Let k be any real number. … 2k+1 will be an odd number & 2k will be an even number. Let n, m be some other random real numbers.

What is the sum of three consecutive odd integers is?

The third odd integer will then be ( 2 k + 3 ) + ( 2 ) = 2 k + 5 \left( {2k + 3} \right) + \left( 2 \right) = 2k + 5 (2k+3)+(2)=2k+5. The sum of our three consecutive odd integers is 45, so our equation setup will be: Now that we have our equation, let’s proceed and solve for k.

How do you find the sum of consecutive odd integers?

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).

How do you find the sum of three consecutive 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 is the formula for sum of odd numbers?

If the number is starting from 1 then you can do simply n^2. for example: if n=6 like 1,3,5,7,9,11 then it’s sum will be 6^2=36. But if odd number series not start from 1 then formula will be sn=n/2(2a+(n-1)d).

What 3 consecutive odd numbers have a sum of 45?

so the three consecutive odd numbers are 13, 15 and 17 whose sum is 45.

What is the sum of 3 consecutive odd numbers is 69?

Let x + 4 = the third number. can you finish it? The numbers are 21, 23, 25.

What is the sum of 51?

What three consecutive integers have a sum of 51? Which means that the first number is 16, the second number is 16 + 1 and the third number is 16 + 2. Therefore, three consecutive integers that add up to 51 are 16, 17, and 18. We know our answer is correct because 16 + 17 + 18 equals 51 as displayed above.

What is the sum of 3 consecutive even numbers is 132?

SOLUTION: find three consecutive even integers whose sum is 132. Let the three consecutive even integers be n-2,n and n+2. n=44. The three consecutive even integers are 42,44 and 46.

What four consecutive odd numbers have a sum of 40?

The sum of 4 numbers = 40. So the average = 40/4 = 10. Since the numbers are 4 odd consecutive numbers then the numbers are 7, 9, 11 and 13. So the second number in the sequence is 9.