Let an arithmetic sequence be such that t1=3 and Sn=60. What are possible values for n that result in integer values for tn and d?

Answer 1

57 = (n-1)*d + 3

54 = (n-1)*d

n=2 ---> d = 54

n=3 ---> d = 27

n=4 ---> d = 18

n=7 ---> d = 9

n=10 --> d=6

n=19 ---> d = 3

n=28 ---> d = 2

n=55 ---> d=1