Finding the first four terms of a rational rule with alternating signs

The video tutorial explores complex sequences by calculating the first four terms. It highlights the impact of raising negative numbers to different powers, resulting in alternating patterns. The tutorial emphasizes understanding these patterns and their mathematical implications.

What happens when a negative number is raised to an odd power?

• It becomes a fraction.

• It becomes zero.

• It remains negative.

• It becomes positive.

What is the result of raising a negative number to an even power?

• It becomes negative.

• It becomes positive.

• It becomes zero.

• It becomes a fraction.

What is the value of the third term in the sequence?

• 0

• 1

• 2

• 0.5

What pattern is observed in the sequence values?

• They increase linearly.

• They remain constant.

• They alternate between positive and negative.

• They decrease exponentially.

What causes the alternating pattern in the sequence?

• The division by a constant.

• The negative number raised to different powers.

• The subtraction of a constant.

• The addition of a constant.