Question
What is the 10th term of the sequence 64, 16, 4,....?
Answers
GPT 3.5
The sequence is decreasing by dividing by 4 each time. So the common ratio is 1/4.
To find the 10th term, we can use the formula for the nth term of a geometric sequence:
Ar^(n-1)
where A is the first term, r is the common ratio, and n is the term number.
Plugging in the values:
64*(1/4)^(10-1) = 64*(1/4)^9 = 64*(1/262144) = 64/262144 = 1/4096
Therefore, the 10th term of the sequence is 1/4096.
To find the 10th term, we can use the formula for the nth term of a geometric sequence:
Ar^(n-1)
where A is the first term, r is the common ratio, and n is the term number.
Plugging in the values:
64*(1/4)^(10-1) = 64*(1/4)^9 = 64*(1/262144) = 64/262144 = 1/4096
Therefore, the 10th term of the sequence is 1/4096.