Find the rule of a sequence when you have rational terms

The video tutorial explains how to find a formula for a sequence by analyzing each term. It emphasizes separating the numerator and denominator when dealing with fractions. The process involves calculating the numerator by adding one to each term and determining the denominator by multiplying by two and subtracting one. The final rule for the sequence is derived from these calculations.

What is the first step in identifying a pattern in a sequence?

• Multiply all terms together

• Calculate the sum of all terms

• Ignore the sequence and guess

• Examine each term individually

When dealing with fractions in a sequence, what should you do first?

• Treat the fraction as a whole number

• Combine the numerator and denominator

• Separate the numerator and denominator

• Ignore the fraction

How do you determine the numerator for each term in the sequence?

• Subtract 1 from the term number

• Divide the term number by 2

• Add 1 to the term number

• Multiply the term number by 2

What operation is used to find the denominator in the sequence?

• Add 1 to the term number

• Subtract 1 from the term number

• Multiply by 2 and subtract 1

• Divide by 2 and add 1

What is the rule for the sequence discussed in the video?

• 2n - 1

• n - 1

• 2n + 1

• n + 1