How to find the first four terms of a sequence

The video tutorial explains how to define the first four terms of a sequence involving negative one raised to various powers. It demonstrates the process of evaluating each term by substituting values into the sequence formula. The tutorial highlights the concept of alternating signs when negative numbers are raised to even or odd powers, explaining that even powers result in positive values while odd powers result in negative values. The video concludes by emphasizing the importance of understanding this relationship in sequences.

What is the first step in evaluating the terms of a sequence?

• Divide each term by N

• Substitute the value of N into the sequence formula

• Multiply all terms by 2

• Add 5 to each term

What is the result of raising -1 to the second power?

• 0

• -1

• 1

• -2

How does the sign of a term change when a negative number is raised to an odd power?

• It becomes positive

• It becomes zero

• It remains the same

• It becomes negative

What pattern emerges when a negative number is raised to successive powers?

• The terms become smaller

• The signs alternate

• The terms become larger

• The signs remain constant

Why does a negative number raised to an even power result in a positive value?

• Because even powers are always positive

• Because the negative signs cancel out

• Because the sequence rule dictates it

• Because odd powers are always negative