Evaluate the series : n equals one sum four multiplied by n plus four
The series in question can be written as:
4(1+4) + 4(2+4) + 4(3+4) + ...
Expanding each term and simplifying, we get:
4(5) + 4(6) + 4(7) + ...
20 + 24 + 28 + ...
Now, we can see that the series is an arithmetic sequence with a common difference of 4. Thus, the terms of the series will continue to increase by 4 as n increases.
Therefore, the series will diverge to infinity as n approaches infinity.