Given a geometry sequence, learn how to find the 9th term

The video tutorial explains how to identify and work with geometric sequences. It covers determining the common ratio by dividing the first two terms and checking its consistency across the sequence. The explicit formula for geometric sequences is introduced, and the process of calculating the ninth term is demonstrated. Emphasis is placed on the importance of following the order of operations when performing calculations. The tutorial concludes with an invitation for questions.

What is the first step in identifying a geometric sequence?

• Multiply the first two terms

• Divide the first two terms

• Add the first two terms

• Check for a common difference

In a geometric sequence, what does the explicit formula help you find?

• The average of the terms

• The sum of all terms

• The common difference

• A specific term in the sequence

What is the value of the first term (a1) in the given sequence?

• 12

• -3

• 6

• -2

Why is it important to follow the order of operations in calculations?

• To simplify the formula

• To make calculations faster

• To avoid errors in the final result

• To ensure the result is a whole number

What is the result of raising -2 to the 8th power?

• -256

• 256

• 512

• -512