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# Sequences

# Defining Sequences and Evaluating Terms Exercises

### Example 1

Describe the sequence

3.1, 3.14, 3.141, 3.1415, 3.14159, ...

What is the general term *a _{n}*?

### Example 2

Evaluate the first 4 terms of the sequence, starting with *n* = 1.

### Example 3

Evaluate the first 4 terms of the sequence, starting with *n* = 1.

*a _{n}* = 2

*n*+ 1

### Example 4

Evaluate the first 4 terms of the sequence, starting with *n* = 1.

*a _{n}* =

*n*

^{3}

### Example 5

Evaluate the first 4 terms of the sequence, starting with *n* = 1.

*a _{n}* = 6 –

*n*

### Example 6

Evaluate the first 4 terms of the sequence, starting with *n* = 1.

*a _{n}* =

*n*

^{2}+

*n*