The recursive rule for a sequence is shown. an=an−1+7 a1=17 what is the explicit rule for this sequence?

Given the recursive formula:
an=a(n-1)+7; a1=17
to get the explicit formula we proceed as follows:
common difference=7
a1=17
but the explicit formula for arithmetic sequence is:
an=a+(n-1)d
where:
a=fist term
n=number of terms
d=common difference
plugging the values in the formula we get:
an=17+(n-1)7
simplifying we get
an=17+7n-7
an=7n+10

an=7n+10