Answer:
Rule:
a_n = 9^(n - 1)
8th term:
a_8 = 9^(8 - 1) = 9^7 = 4,782,969
Step-by-step explanation:
a_1 = 1 = 9^0
a_2 = 1 * 9 = 9^1
a_3 = 1 * 9 * 9 = 9^2
a_4 = 1 * 9 * 9 * 9 = 9^3
Notice that the exponent on the 9 is always 1 less than the number of the term.
Rule:
a_n = 9^(n - 1)
8th term:
a_8 = 9^(8 - 1) = 9^7 = 4,782,969