Question

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

Answer 1

Answer:

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).

Answer 2

Lets take three consecutive odd numbers be x+1,x+3 and x+5.

Then add them as x+1+x+3+x+5. Keep them equal to sum of their odds numbers.