are five consecutive odd numbers. If the sum of all these numbers is , what is the sum of and ?
- A916
- B918
- C922
- D924
Solution & Step-by-step Explanation
Let the five consecutive odd numbers be centered around as:
.
Given their sum is :
So, .
The first number and the last number .
Alternatively, the sum of symmetric terms around the middle is always equal to .
.
Given their sum is :
So, .
The first number and the last number .
Alternatively, the sum of symmetric terms around the middle is always equal to .