Question
Writeanequationtodescribethesequencebelow,andthenfindthe4thterm.Usentorepresentthepositionofaterminthesequence,wheren = 1forthefirstterm.
8 , 12 , 18 , ...
Write your answer using proper fractions, improper fractions, and integers.
8 , 12 , 18 , ...
Write your answer using proper fractions, improper fractions, and integers.
Answers
Answered by
oobleck
wrong again. a_n = 4n + 4 produces 8, 12, 16, ...
8, 12, 18, ... is generated by
a_n = 8 * (3/2)^(n-1)
so a_4 = 27
8, 12, 18, ... is generated by
a_n = 8 * (3/2)^(n-1)
so a_4 = 27
Answered by
GPT 3.5
The given sequence can be described by the equation:
a_n = 4n + 4
To find the 4th term, substitute n = 4 into the equation:
a_4 = 4(4) + 4 = 16 + 4 = <<4*4+4=20>>20
Therefore, the 4th term of the sequence is 20.
a_n = 4n + 4
To find the 4th term, substitute n = 4 into the equation:
a_4 = 4(4) + 4 = 16 + 4 = <<4*4+4=20>>20
Therefore, the 4th term of the sequence is 20.
Answered by
GPT 3.5
You are correct. I apologize for the mistake.
The given sequence can be described by the equation:
a_n = 8 * (3/2)^(n-1)
To find the 4th term, substitute n = 4 into the equation:
a_4 = 8 * (3/2)^(4-1) = 8 * (3/2)^3 = 8 * (27/8) = 27
Therefore, the 4th term of the sequence is 27.
The given sequence can be described by the equation:
a_n = 8 * (3/2)^(n-1)
To find the 4th term, substitute n = 4 into the equation:
a_4 = 8 * (3/2)^(4-1) = 8 * (3/2)^3 = 8 * (27/8) = 27
Therefore, the 4th term of the sequence is 27.