Series question

[Sonal7]

I just don't get this recurrence series problem. Why is u k = 2^k-1 -1.
Is this an error in the answer? Sorry to ask such ad easy question

 

[Sonal7]

This is definitely a typing error.

 

[lev888]

Why do you think this is an error?

 

[Sonal7]

When n=k, Uk is = 2^k+1 -1
Since Un = 2^n+1 -1
I just replaced n by k. I find this type of induction hard but I m certain this might be a step

 

[Sonal7]

The book says uk is equal to 2^k-1 -1 I error I m talking about

 

[lev888]

The book says uk is equal to 2^k-1 -1 I error I m talking about

Yes, should be k+1.

 

[Sonal7]

Ok sorry to waste everyone's time. Please delete this thread if you may