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IM Alg2.1.8 Practice: The nᵗʰ Term

A sequence is defined by , for . Explain why .

Explain why .

Complete the expression: _____. Explain your reasoning.

A sequence is defined by  for . Write a definition for the  term of the sequence.

Here is the recursive definition of a sequence:

, for . Find the first 5 terms of the sequence.

Graph the value of the term as a function of the term number.

Is the sequence arithmetic, geometric, or neither? Explain how you know.

Here is a graph of sequence M.

Define recursively using function notation.

Write the first five terms of each sequence. Determine whether each sequence is arithmetic, geometric, or neither.

, for .

, for .

, for .

, for .

Here is the graph of a sequence:

Is this sequence arithmetic or geometric? Explain how you know.

List at least the first five terms of the sequence.

Write a recursive definition of the sequence.