Question
What is the 13th term of the geometric sequence
8, −16, 32, −64, …
8, −16, 32, −64, …
Answers
GPT 3.5
The first term of the geometric sequence is 8 and the common ratio is -2.
To find the 13th term, we can use the formula for the nth term of a geometric sequence:
Tn = ar^(n-1)
where Tn is the nth term, a is the first term, r is the common ratio, and n is the term number.
Plugging in the values for this problem, we get:
T13 = 8 * (-2)^(13-1)
= 8 * (-2)^12
= 8 * 4096
= 32768
Therefore, the 13th term of the geometric sequence is 32768.
To find the 13th term, we can use the formula for the nth term of a geometric sequence:
Tn = ar^(n-1)
where Tn is the nth term, a is the first term, r is the common ratio, and n is the term number.
Plugging in the values for this problem, we get:
T13 = 8 * (-2)^(13-1)
= 8 * (-2)^12
= 8 * 4096
= 32768
Therefore, the 13th term of the geometric sequence is 32768.