Understanding Sequences: Functions in Tables and Graphs

This video tutorial explains sequences as functions, focusing on arithmetic and geometric sequences. It covers how sequences can be represented in tables and graphs, showing that arithmetic sequences form linear functions while geometric sequences form exponential functions. The video also addresses common misunderstandings about graphing sequences and emphasizes that inputs are restricted to positive integers.

What is the defining characteristic of an arithmetic sequence?

• A variable difference between terms

• A variable ratio between terms

• A common ratio between terms

• A common difference between terms

How do arithmetic sequences relate to functions?

• They create quadratic functions

• They create linear functions

• They create exponential functions

• They create logarithmic functions

What type of function do geometric sequences create?

• Linear functions

• Quadratic functions

• Exponential functions

• Logarithmic functions

Why should points on a graph of a sequence not be connected?

• Because outputs are always positive

• Because inputs are whole numbers

• Because inputs can be decimals

• Because inputs can be negative

What is a key difference between arithmetic and geometric sequences?

• Arithmetic sequences have a common ratio, geometric sequences have a common difference

• Both have a common ratio

• Arithmetic sequences have a common difference, geometric sequences have a common ratio

• Both have a common difference