Answer
A recursive rule for the sequence is $a_1=10,a_n=a_{n-1}+5$.
Work Step by Step
Use graph to write down the sequence
$10,15,20,25,...$
The first term is $a_1=10$.
Calculate difference between each pair of consecutive terms.
$15-10=5$
$20-15=5$
$25-20=5$
The common difference is $d=5$.
So, the sequence is arithmetic.
Recursive equation for an arithmetic sequence.
$a_n=a_{n-1}+d$
Substitute $5$ for $d$.
$a_n=a_{n-1}+5$
Hence, a recursive rule for the sequence is $a_1=10,a_n=a_{n-1}+5$
