7.02 1. determine whether the sequence converges or diverges. if it converges, give the limit. 60, 10, five divided by three , five divided by eighteen , a) converges; 72 b) converges; 0 c) diverges d) converges; -15540 2. find an explicit rule for the nth term of the sequence. 1, 3, 9, 27, a) an = 1 • 3n + 1 b) an = 3 • 1n - 1 c) an = 1 • 3n - 1 d) an = 1 • 3n 3. find an explicit rule for the nth term of the sequence. -5, -25, -125, -625, a) an = -5 • 5n b) an = 5 • -5n + 1 c) an = 5 • -5n d) an = -5 • 5n - 1 4. find an explicit rule for the nth term of a geometric sequence where the second and fifth terms are -6 and 162, respectively. a) an = 2 • 3n - 1 b) an = 2 • (-3)n - 1 c) an = 2 • 3n d) an = 2 • (-3)n + 1 5. a certain radioactive isotope has a half-life of 11 days. if one is to make a table showing the half-life decay of a sample of this isotope from 32 grams to 1 gram; list the time (in days, starting with t = 0) in the first column and the mass remaining (in grams) in the second column, which type of sequence is used in the first column and which type of sequence is used in the second column?