It's true that you can easily add them up directly, especially with the technology available today. But perhaps this student is not allowed to do it that way.It is well known that the sum which is easy to proved by induction. For n=24 Writing out the first 3 terms of that summation Summing the first 3 terms: Subtract 36 from all three sides: That's with what she got, finding the sum directly instead of with a well-known formula. Edwin