Question
what is the 12th term of the sequence 20, 16, 12,...?
Answers
GPT 3.5
To find the 12th term of the sequence, we first need to determine the common difference between each term.
From 20 to 16, there is a difference of 4. From 16 to 12, there is another difference of 4. Therefore, the common difference is -4.
To find the 12th term, we can use the formula for the nth term of an arithmetic sequence:
An = A1 + (n - 1)d
where:
An = the nth term
A1 = the first term
d = the common difference
n = the term number
Plugging in the values:
A12 = 20 + (12 - 1)(-4)
A12 = 20 + 11(-4)
A12 = 20 - 44
A12 = -24
Therefore, the 12th term of the sequence is -24.
From 20 to 16, there is a difference of 4. From 16 to 12, there is another difference of 4. Therefore, the common difference is -4.
To find the 12th term, we can use the formula for the nth term of an arithmetic sequence:
An = A1 + (n - 1)d
where:
An = the nth term
A1 = the first term
d = the common difference
n = the term number
Plugging in the values:
A12 = 20 + (12 - 1)(-4)
A12 = 20 + 11(-4)
A12 = 20 - 44
A12 = -24
Therefore, the 12th term of the sequence is -24.