Answer:
The explicit formula is;
Tn = 256(1/4)^(n-1)
The 9th term is;
256/65536
Step-by-step explanation:
Mathematically, we have the nth term of a geometric sequence as;
Tn = ar^(n-1)
a is the first term = 256
r is the common ratio = 64/256 = 16/64 = 4/16 = 1/4
So, for the 9th term, we have
T9 = 256(1/4)^(9-1) = 256/65536
The explicit formula is;
Tn = 256(1/4)^(n-1)
