Given the sequence:
14, 20, 26
To find the recursive formula, use the formula below:
[tex]\begin{cases}a_1 \\ a_n=a_{n-1}+d\end{cases}[/tex]Where, d is the common difference.
To find the common difference, we have:
d = a2 - a1 = 20 - 14 = 6
a1 = first term = 14
n = number of terms
The common difference is = 6
Thus, the recursive formula is:
[tex]\begin{cases}a_1=14 \\ a_n=a_{n-1}+6\end{cases}[/tex]ANSWER:
[tex]\begin{cases}a_1=14 \\ a_n=a_{n-1}+6\end{cases}[/tex]