Question

Write a formula for the sum (S) of any 3 consecutive odd numbers. a) S = n + (n + 2) + (n + 4) b) S = n + (n + 1) + (n + 2) c) S = n + (n - 2) + (n - 4) d) S = n + (n - 1) + (n - 3)

Answer 1

The correct formula to calculate the sum of any three consecutive odd numbers is S = n + (n + 2) + (n + 4). The consecutive odd numbers after any odd number 'n' are 'n + 2' and 'n + 4'. Adding these three numbers together gives the sum of the three consecutive odd numbers.

Step-by-step explanation:

The subject of the question is Mathematics, specifically in the domain of number sequences. The correct formula for calculating the sum of any 3 consecutive odd numbers is option a) S = n + (n + 2) + (n + 4).

To understand why, consider any odd number 'n'. The next consecutive odd numbers would be 'n + 2' and 'n + 4' respectively. When these three numbers are added together, it gives the sum of the three consecutive odd numbers.

Therefore, the accurate formula to calculate the sum of any three consecutive odd numbers is S = n + (n + 2) + (n + 4).

Learn more about Three consecutive odd numbers