Answer:
[tex]a_8=38[/tex]
Step-by-step explanation:
Recursive sequence
In a recursive sequence formula, each term [tex]a_n[/tex] is computed as a function of one or more previous terms. In the formula
[tex]a_n=a_{n-1}+5[/tex]
n is the number of the term we want to calculate. If n=8, then the formula becomes
[tex]a_8=a_{7}+5[/tex]
We can see [tex]a_{n-1}[/tex] is the previous term. It means we need [tex]a_7[/tex] to be able to compute [tex]a_8[/tex]. But we also need [tex]a_6[/tex] to compute [tex]a_7[/tex] and so on until some known data is reached. The question provides five terms, [tex]a_5=23.[/tex]
[tex]a_6=a_5+5=28[/tex]
[tex]a_7=a_6+5=33[/tex]
[tex]a_8=a_7+5=38[/tex]
[tex]a_8=38[/tex]
