Exploring Recursive Rules in Arithmetic Sequences

The video tutorial explains how to write recursive rules for arithmetic sequences using both sequence and function notations. It begins by identifying the common difference in the sequence and then demonstrates how to express the recursive rule in sequence notation. The tutorial concludes by converting the rule into function notation, highlighting the similarities and differences between the two methods.

What is the main focus of the video?

• Graphing linear functions

• Writing a recursive rule for a geometric sequence

• Writing a recursive rule for an arithmetic sequence

• Solving quadratic equations

What is the common difference in the given arithmetic sequence?

• 5

• -10

• -5

• 10

How do you denote the first term in sequence notation?

• a sub n

• a sub n-1

• a sub 1

• a sub 0

What is the first term of the given sequence?

• -14

• -19

• -9

• -24

How do you represent the previous term in sequence notation?

• a sub n

• a sub 1

• a sub n+1

• a sub n-1

In function notation, how is the first term represented?

• F of n-1

• F of n

• F of 1

• F of 0

What is the value of the first term in function notation?

• -24

• -9

• -19

• -14

How do you represent the previous term in function notation?

• F of n

• F of 1

• F of n-1

• F of n+1

What is the common operation performed to find the next term in both notations?

• Multiply by 5

• Subtract 5

• Divide by 5

• Add 5

What is the main difference between sequence notation and function notation?

• Sequence notation uses a sub n, function notation uses F of n

• Sequence notation uses F of n, function notation uses a sub n

• Sequence notation uses a sub 1, function notation uses a sub n

• Sequence notation uses F of 1, function notation uses F of n