Answer:
The given expression "The sum of two consecutive odd integers equals 12." is written as 2x + 1 + 2x + 3 = 12 and numbers are 5 and 7
Step-by-step explanation:
Given expression : The sum of two consecutive odd integers equals 12.
We have to write the given expression mathematically and solve.
Consider the given expression "The sum of two consecutive odd integers equals 12."
Consecutive odd integers are the odd integers having difference of two in between like 3, 5, 7 etc,
we know odd numbers are of the form of (2m+1)
Thus, let two consecutive odd integers be 2x+1 and 2x+3
Then given sum of two consecutive odd integers is 12
mathematically written as,
2x + 1 + 2x + 3 = 12
4x+ 4 = 12
x + 1 = 3
x = 2
Thus, consecutive odd integers are 2(2)+1 = 5
and 2(2) + 3 = 7
Thus, the given expression "The sum of two consecutive odd integers equals 12." is written as 2x + 1 + 2x + 3 = 12 and numbers are 5 and 7
![\sum_1^{18}4k=4\sum_1^{18}k=4[18(1+18)/2]=4*9*19=684](https://tex.z-dn.net/?f=%5Csum_1%5E%7B18%7D4k%3D4%5Csum_1%5E%7B18%7Dk%3D4%5B18%281%2B18%29%2F2%5D%3D4%2A9%2A19%3D684)
