The recursive rule for a sequence is shown. an=an-1+7 a^1=17 what is the explicit rule for this sequence? a.) an=10n-7 b.)an=7n+10 c.)an=10n+7 d.)an=7n-10

Given that the recursive formula is:
an=an-1+7
first term is
a1=17
the second term will be:
a2=a(2-1)+7
a2=a1+7
a2=17+7
a2=24
To evaluate for the explicit formula we use the formula:
an=a+d(n-1)
where
a=first term
d=common difference
from the calculations above:
d=24-17=7
thus the explicit formula will be:
an=17+7(n-1)
an=17+7n-7
an=7n+17-7
an=7n+10

B] an=7n+10

The first one, i believe, would be correct. all the others have one thing in common, and that's that they have repeating numbers. in the second one, x and y have repeating 6's and 3's, and in the third, x and y have repeating 6's as well. in the last one, there are repeating 3's. the first one has no repeating numbers.