Answer:
The [tex]n[/tex]th term is [tex]a_{n}=4n-5[/tex]
Step-by-step explanation:
The th term of an arithmetic sequence has the form
[tex]a_{n}=a_{1}+(n-1) d[/tex]
where [tex]d[/tex] is the common difference between consecutive terms of the sequence and [tex]a_{1}[/tex] is the first term of the sequence.
Here the sequence is [tex]-1,3,7,11[/tex]
[tex]a_{1}=-1\\\\d=3--1=4[/tex]
The [tex]n[/tex]th term
[tex]a_{n}=-1+(n-1) \times4\\\\a_{n}=4n-5[/tex]
The [tex]n[/tex]th term is [tex]a_{n}=4n-5[/tex]
The nth term is a(n) = 4n -5 if the sequence is -1, 3, 7, 11 with a common difference 4.
It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
We have a sequence:
-1, 3, 7, 11
The above sequence represents the arithmetic sequence with common difference:
d = 3 - (-1) = 4
First term a = -1
nth term:
a(n) = -1 + (n - 1)(4)
a(n) = 4n -5
Thus, the nth term is a(n) = 4n -5 if the sequence is -1, 3, 7, 11 with a common difference 4.
Learn more about the sequence here:
brainly.com/question/21961097
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