How to use alternating signs to find the rule for a sequence

The video tutorial explains how to determine a mathematical rule involving alternating signs. It begins by identifying the need for alternating signs in the rule and discusses how to adjust the formula to resolve these signs. The tutorial then guides viewers through creating the rule by relating sequence numbers to their values, ensuring the correct application of alternating signs.

What is the purpose of incorporating (-1)^n in a sequence?

• To ensure all terms are positive

• To create alternating signs

• To simplify the sequence

• To make the sequence increase

How can you ensure the first term of a sequence is positive when using (-1)^n?

• By subtracting 1 from the exponent

• By adding 1 to the exponent

• By dividing the term by 2

• By multiplying the term by 2

What happens to the second term when you add 1 to the exponent in (-1)^n?

• It doubles in value

• It becomes negative

• It remains unchanged

• It becomes positive

In determining the rule for a sequence, what should you focus on after resolving the signs?

• The size of the terms

• The speed of calculation

• The relationship between sequence number and value

• The color of the terms

What is a suggested rule for going from one term to the next in the sequence?

• Divide each term by 2

• Subtract 1 from each term

• Multiply each term by 2

• Add 3 to each term