Question
Find the 12th term of the geometric sequence 5, comma, 20, comma, 80, comma, point, point, .5,20,80,...
Answers
GPT 3.5
To find the 12th term of the geometric sequence, we need to first determine the common ratio (r) of the sequence.
To find the common ratio, we divide any term by the term before it.
For example,
20/5 = 4
80/20 = 4
0.5/80 = 0.00625
Since the common ratio is 4, we can find the 12th term of the sequence by multiplying the 11th term by the common ratio:
11th term = 80 * 4
11th term = 320
Thus, the 12th term of the sequence is 320.
To find the common ratio, we divide any term by the term before it.
For example,
20/5 = 4
80/20 = 4
0.5/80 = 0.00625
Since the common ratio is 4, we can find the 12th term of the sequence by multiplying the 11th term by the common ratio:
11th term = 80 * 4
11th term = 320
Thus, the 12th term of the sequence is 320.