Question

Find a formula for the sum S of any three
consecutive odd numbers.​

Answer 1

Answer :-

Formula for the sum of any 3 consecutive odd numbers is :-

• $(2x+1)+(2x+3)+(2x+5)$

Explanation :-

We took $2x$ and confirmed that the number is even, but then we added an odd number and assured that the outcome would be odd.

• Eg. 2x + 1 = (an odd number) Let x be 2.

• 2 × 2 + 1 = 4 + 1 = 5

• Now, let x be 3. 2x + 1

• 2 × 3 + 1 = 6 + 7 = 7

Both times, the outcome was an odd number no matter whether x was even or odd. Hence, we can make as many consecutive odd numbers by $(2x+1)$, $(2x+3)$, $(2x+5)$, $(2x+7)$ and so on...

☆ Hope it Helps ☆

$@ NightRead$