Quadratic Sequences: nth Term

This video tutorial explains how to find the NTH term for quadratic sequences. It begins by identifying quadratic sequences through constant second differences and demonstrates the process of calculating the NTH term. The tutorial includes examples and practice problems to reinforce learning, emphasizing the importance of checking results.

What is the significance of the second difference in identifying a quadratic sequence?

• It suggests the sequence is exponential.

• It shows the sequence is linear.

• It indicates the sequence is arithmetic.

• It confirms the sequence is quadratic.

If the second difference of a sequence is 2, what is the N squared term?

• 1N squared

• 2N squared

• 3N squared

• 4N squared

What is the first step in finding the NTH term of a quadratic sequence?

• Identify the N squared term.

• Find the first and second differences.

• Write out the original sequence.

• Check the NTH term formula.

How do you determine the coefficient of the N squared term in a quadratic sequence?

• Double the second difference.

• Subtract the first difference from the second.

• Use the first difference.

• Half the second difference.

What should you do after finding the N squared term in a quadratic sequence?

• Find the difference between the original sequence and the N squared sequence.

• Multiply the sequence by 2.

• Check the sequence for errors.

• Add the first difference to the sequence.