Question

1.Find a formula for the sun S of any three consecutive odd numbers.

2.Hence,find the value of S when the greatest odd number is -101.​

Answer 1

1) 6n+9

2) -309

Explanation:

Let say 2n+1,2n+3,2n+5 the three consecutive odd numbers (n in Z)

1) sum= (2n+1)+(2n+3)+(2n+5=6n+9

2) 2n+5=-101

2n=-106

n=-53

S=6n+9=6*(-53)+9=-309