What is the 10th term of the sequence 64, 16,

a. 1/1024

b. 1/256

c. 1/4096

d. 1/496

Each time we are dividing by 4.
Essentially, multiplying by 1/4.
Since we're multiplying, that makes this a geometric sequence!

So: Our first term is 64, and the common ratio is 1/4.
Let's plug that into the geometric sequence formula.



Where a_n = the value of the nth term
a_1 = the first term, and r = the common ratio



Now that we have our equation, let's plug in 10 for n.
That way, we can solve to find , the value of the 10th term.