Writeanequationtodescribethesequencebelow,andthenfindthe4thterm.Usentorepresentthepositionofaterminthesequence,wheren = 1forthefirstterm.
8 , 12 , 18 , ...
Write your answer using proper fractions, improper fractions, and integers.
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
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.
To describe the given sequence, we can observe that each term is obtained by multiplying the previous term by 1.5. So, the equation for this sequence is given by:
\(a_n = 8 \times (1.5)^{n-1}\)
To find the 4th term, we substitute \(n = 4\) into the equation:
\(a_4 = 8 \times (1.5)^{4-1}\)
\(a_4 = 8 \times (1.5)^3\)
Simplifying the calculation:
\(a_4 = 8 \times (3.375)\)
\(a_4 = 27\)
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.