Determine whether the sequence converges or diverges. if it converges, give the limit: 72, 18. 9/2, 9/8,

 The sequence converges. The limit it converges to is 0.



The sequence is a geometric sequence with a = 72 and r = 1/4. Because 0 < r < 1, this means that the sequence gets smaller and smaller. The terms get closer to 0. They don't actually get there but the limiting value is 0. 

You just need to add 32 to 14 and get 46.