How do you find the first five terms of each sequence a_1=12, a_(n+1)=a_n−3?

Darius Nash 2022-09-12 Answered
How do you find the first five terms of each sequence a 1 = 12 , a n + 1 = a n - 3 ?
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Answers (1)

Grace Moses
Answered 2022-09-13 Author has 13 answers
a n + 1 = a n - 3 and a 1 = 12
Find the first five terms.
This is a recursively defined sequence, which means you use the previous term to find the next.
The first term is a 1 = 12 .
The 2nd term is a 2 = a 1 + 1 = a 1 - 3 = 12 - 3 = 9
The 3rd term is a 3 = a 2 + 1 = a 2 - 3 = 9 - 3 = 6
Note that you are subtracting 3 to find the next term.
So, a 4 = 3 and a 5 = 0 .
The first 5 terms are 12 , 9 , 6 , 3 , 0

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