Respuesta :
Step-by-step explanation:
A1=8
A2=A1+5 plug 8 into A1 here. After getting the value, put into next equation. And repeat until you get A5
A3=A2+5
A4=A3+5
A5=A4+5
The value of a5 is
What is Recursive Sequence?
It refers to the sequences where each term is given as a rule that depends on one or more of the previous terms, unlike explicit sequences where a general term is given and we can calculate any term without knowing the value of the previous terms, except for the first one.
Now the given sequence is,
a1 = 8
an = an-1 + 5
To find the value of a5 we need to find previous terms first.
Therefore,
a2 = a2-1 + 5 = a1 + 5
⇒a2 = 8 + 5 = 12
Similarly,
a3 = a2 + 5
⇒a3 = 12 + 5 = 17
Similarly,
a4 = a3 + 5
⇒a4 = 17 + 5 = 19
Similarly
a5 = a4 + 5
⇒a5 = 19 + 5 = 24
Hence the value of a5 is 24.
More about recursive sequence:
https://brainly.com/question/19299012
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