Question

Write the recursive formula for the arithmetic sequence6,9,12,15A(n)=A(1)=

Answer 1

1) Since a Recursive formula always makes use of the antecedent term in a sequence, we can write:

6,9,12,15

d =3

a_1=6

2) Let's write it:

$\begin{gathered} \\ a_n=a_{n-1}+3 \\ n=\text{ position} \\ a_3=12 \\ a_3=a_2+13 \\ 12=9\text{ +3} \\ 12\text{ =12} \end{gathered}$

3) And that's the answer because the subsequent term is the prior added