# How do you evaluate the sum represented by #sum_(n=1)^5n/(2n+1)# ?

##### 1 Answer

Oct 13, 2014

First expand the series for each value of n

Next, perform the operations in the denominator...

Now, to add fractions we need a common denominator... in this case it's

Next, we have to multiply each numerator and denominator by the missing components...

(Divide the

Now simply add the numerators together...

giving