1. The problem statement, all variables and given/known data
I was given this homework problem:
Show that if ##a_1,a_2, ... ,## is a sequence of real numbers that converges to ##a##, then [tex]lim_{n\to \infty}\frac{\sum^n_{k=1} a_k}{n}=a.[/tex]
I was provided a solution but my book never went over such examples or the concrete steps to solve such a problem. I am wondering what are the basic first steps to solving these types of problems?
And if possible, where can I find practice problems like these online? I searched but I couldn't find any.
I was given this homework problem:
Show that if ##a_1,a_2, ... ,## is a sequence of real numbers that converges to ##a##, then [tex]lim_{n\to \infty}\frac{\sum^n_{k=1} a_k}{n}=a.[/tex]
I was provided a solution but my book never went over such examples or the concrete steps to solve such a problem. I am wondering what are the basic first steps to solving these types of problems?
And if possible, where can I find practice problems like these online? I searched but I couldn't find any.
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