Nth Term Rules

Question 1

difference that = 1/2n²

Answer 1

1

Question 2

difference that = n²

Answer 2

2

Question 3

difference that = 2n²

Answer 3

4

Question 4

difference that = 3n²

Answer 4

6

Question 5

What is the rule for the coefficients of nth terms?

Answer 5

the second difference is twice the amount of the coefficient

Question 6

What is the rule for adding to the nth terms?

Answer 6

All the second differences are 2, but the 1st difference can change.