Answer:
29
Step-by-step explanation:
We have been given a sequence formula. We are asked to find the 8th term of our given sequence.
We know that an arithmetic sequence is in form [tex]A_n=a_1+(n-1)d[/tex], where,
[tex]A_n=\text{ nth term of sequence}[/tex],
[tex]A_1=\text{ 1st term of sequence}[/tex],
n = Number of terms in sequence,
d = Common difference.
To find the 8th term of our given sequence, we will substitute [tex]n=8[/tex] in our given formula.
[tex]c(n)=-6+5(n-1)[/tex]
[tex]c(8)=-6+5(8-1)[/tex]
[tex]c(8)=-6+5(7)[/tex]
[tex]c(8)=-6+35[/tex]
[tex]c(8)=29[/tex]
Therefore, the 8th term of our given sequence would be 29.
