Greetings,

I am currently enrolled in a Finite Math course in college and let me tell you...

My professor sucks is just not good at explaining the material. He's not a bad human being like 99% of my class portrays him to be, but teaching is just not his strongest point.

With that in mind, I've been assigned homework and did all of it but one question - which I do not even recall learning about in class.

The question goes:

Compute the following sums given that the integer 𝑛 is an even number 2𝑚.

a. 𝑆 = ( 𝑛 ) + ( 𝑛 ) + ( 𝑛 ) + ⋯ + ( 𝑛 )

______( 0 )___( 2 )___( 4 )______( 2m )

b. 𝑆 = ( 𝑛 ) + ( 𝑛 ) + ( 𝑛 ) + ⋯ + ( 𝑛 )

______( 1 )___( 3 )__( 5 )_____( 2m-1 )

I absolutely have no idea how to approach this question... The previous math course I took was Pre-Calculus.

However, I would greatly appreciate if somebody could either give me an example of a solution (doesn't have to be this problem) or some other source which explains how to approach this problem, so I could learn how to do it.

Thank you for your time!