Exploring Geometric Sequences through Recursive and Explicit Formulas

The video tutorial explains how to write recursive and explicit formulas for a geometric sequence. It begins by introducing the sequence and its terms, then demonstrates how to find the common ratio by dividing a term by its previous term. The tutorial proceeds to explain the recursive formula, which requires the first term and the common ratio. Finally, it covers the explicit formula, which also uses the first term and the common ratio raised to the power of n minus 1.

What is the first term given in the geometric sequence?

• 1

• 3

• 12

• 4

Tags

CCSS.HSF.BF.A.2

How do you find the common ratio in a geometric sequence?

• Divide any term by its previous term

• Add the first term to the second term

• Multiply the first term by the second term

• Subtract the first term from the second term

Tags

CCSS.HSF.BF.A.2

What is the common ratio in the given sequence?

• 12

• 1

• 3

• 4

Tags

CCSS.HSF.BF.A.2

What is the first term in the recursive formula?

• 4

• 3

• T sub n

• T sub n minus 1

Tags

CCSS.HSF.BF.A.2

In the recursive formula, what does T sub n minus 1 represent?

• The first term

• The next term

• The previous term

• The common ratio

Tags

CCSS.HSF.BF.A.2

In the explicit formula, what exponent is the common ratio raised to?

• N plus 1

• N minus 2

• N minus 1

• N

Tags

CCSS.HSF.BF.A.2