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## Homework Statement

I need to see if these sequences converge or diverge:

1) [tex] a_n = ncosn\pi[/tex]

2) [tex]{ 0,1,0,0,1,0,0,0,1,0,0,0,0,1,... }[/tex]

3) [tex]a_n = \frac{1 . 3 . 5 . ... (2n - 1)}{n!}[/tex]

## Homework Equations

## The Attempt at a Solution

1) [tex]]cosn\pi = -1[/itex] so [itex]a_n \to -\infty[/tex]?

2) What is this. where is the n?

3) Not sure