Completing the Square
Completing the square:
Rewrite x2 + 6x as a square plus another term.
The coefficient of x is 6.
Dividing 6 by 2 and squaring it gives 9.
x2 + 6x = (x2 + 6x + 9) - 9
= (x + 3)2 - 9
The Nth Term
The Nth Term:
A=The difference between terms
B= Difference between The first term of the sequence and A
A=3, B= 3-4=1, so Nth term= 3n+1