Learn how to write the first five terms of an alternating sequence

The video tutorial explains how to evaluate the first five terms of a sequence by substituting values into a given formula. The instructor demonstrates the process step-by-step, highlighting the effect of raising negative numbers to even and odd powers. The tutorial covers the calculations for each term, emphasizing the pattern of positive and negative results. The video concludes with a summary of the calculated terms.

What is the role of the base in determining the sign of the terms in the sequence?

• It always makes the terms positive.

• It determines if the terms will be positive or negative.

• It has no effect on the sign of the terms.

• It only affects the magnitude of the terms.

How does raising a negative number to an even power affect its sign?

• It becomes positive.

• It becomes zero.

• It remains negative.

• It becomes undefined.

What happens to the sign of a negative number when raised to an odd power?

• It becomes undefined.

• It becomes positive.

• It becomes zero.

• It remains negative.

What is the pattern of signs observed in the sequence terms?

• Positive, negative, positive, positive, negative

• Positive, negative, positive, negative, positive

• Negative, negative, negative, negative, negative

• Positive, positive, positive, positive, positive

What is the result of raising 5 to the power of 2 in the context of the sequence?

• 15

• 30

• 10

• 25