Respuesta :
Answer: The required n-th term is 25+2n.
Step-by-step explanation: We are given to find the n-th term of the following linear sequence :
27, 25, 23, 21, 19, . . .
We note from the given sequence that
[tex]27-25=25-23=23-21=21-19=~~.~~.~~.~~=2.[/tex]
So, the given sequence is an arithmetic sequence with first term 27 and common difference, 2.
We know that the n-th term of an arithmetic sequence with first term a and common difference d is given by
[tex]a_n=a+(n-1)d.[/tex]
For the given sequence, we have
a = 27 and d = 2.
Therefore, the n-th term of the given sequence is
[tex]a_n=a+(n-1)d=27+(n-1)2=27+2n-2=25+2n.[/tex]
Thus, the required n-th term is 25+2n.
Answer:
The [tex]n[/tex]'th term will be [tex]a_n=2n+25[/tex]
Step-by-step explanation:
Given information;
The sequence 27,25,23,21,19....
First term [tex]a=27[/tex]
Difference [tex]d=2[/tex]
As, the equation for the [tex]n[/tex]th term;
[tex]a_n=a+(n-1)d\\a_n=27+(n-1)2\\a_n=27+2n-2\\a_n=2n+25[/tex]
Hence, the [tex]n[/tex]'th term will be [tex]a_n=2n+25[/tex]
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