Sequences and Series

Thank you. Just for clarification, is there a reason why it's 2 and not the others? Does it have something to do with the decimals?

Thanks Heureka,

you are asked for tn  when n = 345

n is a function of k where k is 0 or a positive integer.

in this case k = the floor (whole part) of  345/4   

345/4 = 86 with 1 left over.

k is 86 and 1 is left over

So   

n=4k+1

so tn = 2

think about it and I think you will understand.