Question

find a formula...

Answer 1

\[\sum_{n=1}^{n} (2i/2)(2/n) \]
Find a formula for the sum of n terms. Use the formula to find the limit as n--> infinity

Answer 2

should it be summation in n or summation in i ?? please confirm//

Answer 3

sorry it should be i = 1

Answer 4

seems like limit of a sum problem..you know that?

Answer 5

You mean the summation is: \[\lim_{n \rightarrow \infty} \sum_{i=1}^{n}\frac{ 2i }{ 2 }\frac{ 2 }{ n }=2*\lim_{n \rightarrow \infty} \sum_{i=1}^{n}\frac{ i }{ n }\]

Answer 6

If you write it out you get: \[2\left( \frac{ 1 }{ n }+\frac{ 2 }{ n }+...+\frac{ n }{ n } \right)=\]
\[\frac{ 2 }{ n }(1+2+...+n)=\]
\[\frac{ 2 }{ n }\frac{ n(n+1) }{ 2 }=n+1\]
Now it is clear that\[\lim_{n \rightarrow \infty}(n+1)=\infty \]

Answer 7

seems legit..