Finding kth term of a sequence

[becca4]

Homework Statement

See picture

It's (sigma) from k (possibly n?)=1 to +infinity of U_{k} = 2 - (1/n)

I'm asked to find:

U_{100}

limit as k goes to infinity of U_{k}

and sigma from k=1 to inf. of U_{k}

Homework Equations

If I'm not mistaken, 2 - 1/n is the closed for for the sum, right? I'm just not sure where to go from there...

The Attempt at a Solution

None. (

 

[EnumaElish]

Is the series \sum_{k=1}^\infty(2-1/n)? Or is it \sum_{k=1}^\infty U_k = 2-1/n ?

 

[becca4]

the latter. Thanks!